Edit Profile (opens in new tab) Brown, Ronald Compute Distance To: Compute Author ID: brown.ronald Published as: Brown, Ronald; Brown, R. Homepage: http://pages.bangor.ac.uk/~mas010/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 133 Publications since 1963, including 4 Books 1 Contribution as Editor Reviewing Activity: 34 Reviews Biographic References: 1 Publication Co-Authors: 49 Co-Authors with 87 Joint Publications 718 Co-Co-Authors all top 5 Co-Authors 42 single-authored 14 Higgins, Philip John 11 Porter, Timothy 8 Wensley, Christopher D. 6 İçen, İlhan 5 Mucuk, Osman 4 Heath, Philip R. 4 Janelidze, George 4 Kamps, Klaus Heiner 3 Glazebrook, James F. 3 Golasiński, Marek 3 Hardy, J. P. L. 3 Loday, Jean-Louis 3 Morris, Sidney A. 3 Sivera, Rafael 3 Tonks, Andrew 2 Baianu, Ion C. 2 Bak, Anthony 2 Booth, Peter I. 2 Danesh-Naruie, G. 2 Heyworth, Anne 2 Minian, Elias Gabriel 2 Morris, Ifor 2 Salleh, Abdul Razak 2 Shrimpton, John S. 2 Spencer, Christopher B. 1 Abdallah, Ahmed Mohammed Abdel Aal 1 Al-Agl, Fahd Ali 1 Antolín-Camarena, Omar 1 Aof, Mohammed A. E.-S. A.-F. 1 Baraille, I. 1 Baues, Hans-Joachim 1 Bonnier, B. 1 Bordat, P. 1 Bullejos, Manuel 1 Cazade, P.-A. 1 Eells, James jun. 1 Ellis, Graham J. 1 Ghani, Neil 1 Gilbert, Nick D. 1 Hale, T. M. 1 Hardie, Keith A. 1 Hardy, Lew 1 Huebschmann, Johannes 1 Humphries, Stephen P. 1 Johnson, David Lawrence 1 Mackenzie, Kirill Charles Howard 1 Moore, Elvin J. 1 Mosa, Ghafar H. 1 Nickolas, Peter 1 Peschke, Georg 1 Pommiers, E. 1 Robertson, Edmund Frederick 1 Solov’ëv, Sergeĭ Vladimirovich 1 Steiner, Richard J. 1 Street, Ross H. 1 Thickstun, Thomas L. 1 Todorov, Ivan T. all top 5 Serials 8 Journal of Pure and Applied Algebra 7 Cahiers de Topologie et Géométrie Différentielle Catégoriques 7 Proceedings of the London Mathematical Society. Third Series 7 Theory and Applications of Categories 7 Journal of Homotopy and Related Structures 5 Mathematical Proceedings of the Cambridge Philosophical Society 4 Bulletin of the London Mathematical Society 4 Journal of the London Mathematical Society. Second Series 4 Journal of Symbolic Computation 3 Topology and its Applications 3 Applied Categorical Structures 3 Homology, Homotopy and Applications 2 Advances in Mathematics 2 Journal of Algebra 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Topology 2 Indagationes Mathematicae. New Series 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Proceedings of the Cambridge Philosophical Society 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 General Topology and its Applications 2 Journal of Geometric Mechanics 1 Computers & Mathematics with Applications 1 IMA Journal of Applied Mathematics 1 Molecular Simulation 1 The Mathematical Intelligencer 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Jnanabha 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 \(K\)-Theory 1 Publicacions Matemàtiques 1 Journal of Physics A: Mathematical and General 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Irish Mathematical Society Bulletin 1 The Australasian Journal of Combinatorics 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Georgian Mathematical Journal 1 Mathematical Engineering in Industry 1 The Electronic Journal of Combinatorics 1 LMS Journal of Computation and Mathematics 1 Cubo Matemática Educacional 1 Acta Universitatis Apulensis. Mathematics - Informatics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of the London Mathematical Society 1 London Mathematical Society Lecture Note Series 1 EMS Tracts in Mathematics 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae all top 5 Fields 73 Category theory; homological algebra (18-XX) 72 Algebraic topology (55-XX) 48 Group theory and generalizations (20-XX) 28 Manifolds and cell complexes (57-XX) 22 Topological groups, Lie groups (22-XX) 11 General topology (54-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 History and biography (01-XX) 5 Combinatorics (05-XX) 5 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 109 Publications have been cited 1,982 times in 976 Documents Cited by ▼ Year ▼ Van Kampen theorems for diagrams of spaces. Zbl 0622.55009Brown, Ronald; Loday, Jean-Louis 189 1987 Some computations of non-Abelian tensor products of groups. Zbl 0626.20038Brown, R.; Johnson, D. L.; Robertson, E. F. 96 1987 \(\mathcal G\)-groupoids, crossed modules and the fundamental groupoid of a topological group. Zbl 0333.55011Brown, Ronald; Spencer, Christopher B. 87 1976 On the algebra of cubes. Zbl 0468.55007Brown, Ronald; Higgins, Philip J. 81 1981 From groups to groupoids: A brief survey. Zbl 0612.20032Brown, Ronald 77 1987 Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev. Zbl 1237.55001Brown, Ronald; Higgins, Philip J.; Sivera, Rafael 74 2011 Elements of modern topology. Zbl 0159.52201Brown, R. 59 1968 On the connection between the second relative homotopy groups of some related spaces. Zbl 0405.55015Brown, Ronald; Higgins, Philip J. 53 1978 Colimit theorems for relative homotopy groups. Zbl 0475.55009Brown, Ronald; Higgins, Philip J. 52 1981 Topology and groupoids. 3rd revised, updated and extended ed. Zbl 1093.55001Brown, Ronald 51 2006 Double groupoids and crossed modules. Zbl 0344.18004Brown, Ronald; Spencer, Christopher B. 48 1976 Groupoids and crossed objects in algebraic topology. Zbl 0920.55002Brown, Ronald 44 1999 Fibrations of groupoids. Zbl 0194.02202Brown, R. 44 1970 Hopf formulae for the higher cohomology of a group. Zbl 0611.20032Brown, Ronald; Ellis, Graham J. 41 1988 Algebraic models of 3-types and automorphism structures for crossed modules. Zbl 0645.18007Brown, Ronald; Gilbert, N. D. 39 1989 Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes. Zbl 0621.55009Brown, Ronald; Higgins, Philip J. 39 1987 Topology: A geometric account of general topology, homotopy types and the fundamental groupoid. Rev., updated and expanded ed. Zbl 0655.55001Brown, Ronald 35 1988 Excision homotopique en basse dimension. (Homotopical excision in low dimension). Zbl 0573.55011Brown, Ronald; Loday, Jean-Louis 35 1984 Identities among relations. Zbl 0485.57001Brown, R.; Huebschmann, Johannes 34 1982 Groupoids and van Kampen’s theorem. Zbl 0149.20002Brown, R. 32 1967 Determination of a double Lie groupoid by its core diagram. Zbl 0766.22001Brown, Ronald; Mackenzie, Kirill C. H. 32 1992 Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups. Zbl 0519.55009Brown, Ronald 31 1984 Function spaces and product topologies. Zbl 0126.38503Brown, R. 26 1964 The equivalence of infinity-groupoids and crossed complexes. Zbl 0487.55007Brown, Ronald; Higgins, Philip J. 26 1981 Covering groups of non-connected topological groups revisited. Zbl 0831.57001Brown, Ronald; Mucuk, Osman 26 1994 The classifying space of a crossed complex. Zbl 0732.55007Brown, Ronald; Higgins, Philip J. 25 1991 Orbits under symplectic transvections. I; II: The case \(K=F_ 2\). Zbl 0604.51008Brown, Ronald; Humphries, Stephen P. 24 1986 Spaces of partial maps, fibred mapping spaces and the compact-open topology. Zbl 0373.54012Booth, Peter I.; Brown, Ronald 23 1978 Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties. Zbl 0304.22001Brown, Ronald; Higgins, Philip J.; Morris, Sidney A. 23 1975 Ten topologies for \(X\times Y\). Zbl 0113.37504Brown, R. 21 1963 Homotopical excision, and Hurewicz theorems, for n-cubes of spaces. Zbl 0584.55012Brown, Ronald; Loday, Jean-Louis 21 1987 Topological groupoids. II: Covering morphisms and G-spaces. Zbl 0281.22002Brown, R.; Danesh-Naruie, G.; Hardy, J. P. L. 19 1976 Multiple categories: The equivalence of a globular and a cubical approach. Zbl 1013.18003Al-Agl, Fahd Ali; Brown, Ronald; Steiner, Richard 17 2002 Groupoids as coefficients. Zbl 0245.20045Brown, Ronald 16 1972 The fundamental groupoid as a topological groupoid. Zbl 0297.55001Brown, R.; Danesh-Naruie, G. 16 1975 Double categories, 2-categories, thin structures and connections. Zbl 0918.18005Brown, Ronald; Mosa, Ghafar H. 16 1999 Coglueing homotopy equivalences. Zbl 0185.51101Brown, Ronald; Heath, Philip R. 15 1970 Higher-dimensional group theory. Zbl 0484.55007Brown, R. 15 1982 Crossed complexes and chain complexes with operators. Zbl 0691.18003Brown, Ronald; Higgins, Philip J. 15 1990 Homotopies and automorphisms of crossed modules of groupoids. Zbl 1029.20025Brown, Ronald; İçen, İlhan 15 2003 Q-perfect groups and universal Q-central extensions. Zbl 0729.20013Brown, Ronald 13 1990 The holonomy groupoid of a locally topological groupoid. Zbl 0855.22007Aof, Mohammed A. E.-S. A.-F.; Brown, Ronald 12 1992 The monodromy groupoid of a Lie groupoid. Zbl 0844.22006Brown, Ronald; Múcuk, Osman 12 1995 A model structure for the homotopy theory of crossed complexes. Zbl 0679.55016Brown, Ronald; Golasinski, Marek 12 1989 On the second relative homotopy group of an adjunction space: An exposition of a theorem of J. H. C. Whitehead. Zbl 0427.55012Brown, Ronald 12 1980 Van Kampen theorems for categories of covering morphisms in lextensive categories. Zbl 0882.18005Brown, Ronald; Janelidze, George 11 1997 The equivalence of omega-groupoids and cubical T-complexes. Zbl 0486.55011Brown, Ronald; Higgins, Philip J. 11 1981 A van Kampen theorem for unions of non-connected spaces. Zbl 0521.57002Brown, Ronald; Salleh, Abdul Razak 11 1984 Subgroups of free topological groups and free topological products of topological groups. Zbl 0304.22003Brown, R.; Hardy, J. P. L. 11 1975 A homotopy double groupoid of a Hausdorff space. Zbl 0986.18010Brown, Ronald; Hardie, Keith A.; Kamps, Klaus Heiner; Porter, Timothy 11 2002 A compact-open topology on partial maps with open domain. Zbl 0436.54012Abd-Allah, Ahmed M.; Brown, Ronald 11 1980 Foliations, locally Lie groupoids and holonomy. Zbl 0868.22001Brown, Ronald; Mucuk, Osman 10 1996 Sur les complexes croises, \(\omega\)-groupoides, et \(T\)-complexes. Zbl 0379.55013Brown, Ronald; Higgins, Philip J. 9 1977 Topological groupoids. I: Universal constructions. Zbl 0281.22001Brown, Ronald; Hardy, J. P. L. 9 1976 Cohomology with chains as coefficients. Zbl 0125.11402Brown, R. 8 1964 Some nonprojective subgroups of free topological groups. Zbl 0278.22001Brown, Ronald 8 1975 Computing homotopy types using crossed n-cubes of groups. Zbl 0755.55006Brown, Ronald 7 1992 Some non-abelian methods in homotopy theory and homological algebra. Zbl 0558.55001Brown, Ronald 7 1984 Cubical Abelian groups with connections are equivalent to chain complexes. Zbl 1025.18006Brown, Ronald; Higgins, Philip J. 7 2003 Global actions, groupoid atlases and applications. Zbl 1129.55009Bak, A.; Brown, R.; Minian, G.; Porter, T. 6 2006 Lie local subgroupoids and their holonomy and monodromy Lie groupoids. Zbl 1006.58016Brown, Ronald; İçen, İlhan 6 2001 Spaces of maps into classifying spaces for equivariant crossed complexes. Zbl 0898.55009Brown, R.; Golasiński, M.; Porter, T.; Tonks, A. 6 1997 Embeddings in contractible or compact objects. Zbl 0389.22005Brown, Ronald; Morris, Sidney A. 6 1978 Computation and homotopical applications of induced crossed modules. Zbl 1026.55012Brown, Ronald; Wensley, Christopher D. 6 2003 Modelling and computing homotopy types: I. Zbl 1423.55015Brown, Ronald 5 2018 Three themes in the work of Charles Ehresmann: local-to-global; groupoids; higher dimensions. Zbl 1123.01015Brown, Ronald 5 2007 On the application of fibred mapping spaces to exponential laws for bundles, ex-spaces and other categories of maps. Zbl 0373.54013Booth, Peter I.; Brown, Ronald 5 1978 Graphs of morphisms of graphs. Zbl 1187.18002Brown, R.; Morris, I.; Shrimpton, J.; Wensley, C. D. 5 2008 Groupoids and the Mayer-Vietoris sequence. Zbl 0522.18010Brown, Ronald; Heath, Philip R.; Kamps, Klaus Heiner 5 1983 Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types. Zbl 0856.18011Brown, Ronald; Wensley, Christopher D. 5 1996 Holonomy and monodromy groupoids. Zbl 1051.18008Brown, Ronald; İçen, İlhan; Mucuk, Osman 5 2001 A homotopy double groupoid of a Hausdorff space. II: A van Kampen theorem. Zbl 1076.18004Brown, Ronald; Kamps, K. H.; Porter, Timothy 4 2005 Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems. Zbl 1067.18004Brown, Ronald 4 2004 Groupoids, the Phragmen-Brouwer property, and the Jordan curve theorem. Zbl 1155.57020Brown, Ronald 4 2006 On the Schreier theory of non-Abelian extensions: generalisations and computations. Zbl 0885.20018Brown, Ronald; Porter, Timothy 4 1996 Sur les complexes croises d’homotopie associes à quelques espaces filtres. Zbl 0374.55008Brown, Ronald; Higgins, Philip J. 4 1978 On relative homotopy groups of the product filtration, the James construction, and a formula of Hopf. Zbl 0785.55007Baues, H. J.; Brown, R. 4 1993 A new higher homotopy groupoid: the fundamental globular \(\omega\)-groupoid of a filtered space. Zbl 1141.18007Brown, Ronald 4 2008 Homotopy theory, and change of base for groupoids and multiple groupoids. Zbl 0859.55001Brown, Ronald 4 1996 On sequentially proper maps and a sequential compactification. Zbl 0269.54015Brown, Ronald 4 1974 Towards a 2-dimensional notion of holonomy. Zbl 1039.18004Brown, Ronald; İçen, İlhan 4 2003 Galois theory and a new homotopy double groupoid of a map of spaces. Zbl 1050.18005Brown, Ronald; Janelidze, George 4 2004 Category theory: an abstract setting for analogy and comparison. Zbl 1235.18001Brown, Ronald; Porter, Timothy 4 2006 Possible connections between whiskered categories and groupoids, Leibniz algebras, automorphism structures and local-to-global questions. Zbl 1278.18005Brown, Ronald 3 2010 On a method of P. Olum. Zbl 0145.43401Brown, R. 3 1965 Two examples in homotopy theory. Zbl 0145.43403Brown, R. 3 1966 On infinite induced crossed modules and the homotopy 2-type of mapping cones. Zbl 0849.55017Brown, Ronald; Wensley, Christopher D. 3 1995 Algebraic colimit calculations in homotopy theory using fibred and cofibred categories. Zbl 1169.18006Brown, Ronald; Sivera, Rafael 3 2009 Free crossed resolutions of groups and presentations of modules of identities among relations. Zbl 0939.20029Brown, Ronald; Salleh, Abdul Razak 3 1999 Galois theory of second order covering maps of simplicial sets. Zbl 0930.55009Brown, Ronald; Janelidze, George 3 1999 Spaces of maps into classifying spaces for equivariant crossed complexes. II: The general topological group case. Zbl 1012.55018Brown, R.; Golasiński, M.; Porter, T.; Tonks, A. 3 2001 Using rewriting systems to compute left Kan extensions and induced actions of categories. Zbl 0941.18005Brown, Ronald; Heyworth, Anne 3 2000 Crossed complexes and higher homotopy groupoids as noncommutative tools for higher dimensional local-to-global problems. Zbl 1214.18014Brown, Ronald 2 2009 Crossed complexes and non-abelian extensions. Zbl 0504.55018Brown, Ronald; Higgins, Philip J. 2 1982 Normalisation for the fundamental crossed complex of a simplicial set. Zbl 1184.55007Brown, R.; Sivera, R. 2 2007 Exact sequences of fibrations of crossed complexes, homotopy classification of maps, and nonabelian extensions of groups. Zbl 1191.18009Brown, Ronald 2 2008 Coverings of groupoids and Mayer-Vietoris type sequences. Zbl 0553.18005Brown, Ronald; Heath, Philip R.; Kamps, Klaus Heiner 2 1984 Local subgroupoids. II: Examples and properties. Zbl 1043.18005Brown, Ronald; İçen, İlhan; Mucuk, Osman 2 2003 Crossed complexes, and free crossed resolutions for amalgamated sums and HNN-extensions of groups. Zbl 1030.55013Brown, R.; Moore, E. J.; Porter, T.; Wensley, C. D. 2 2002 Connections, local subgroupoids, and a holonomy Lie groupoid of a line bundle gerbe. Zbl 1064.58020Brown, Ronald; Glazebrook, James F. 2 2003 Van Kampen’s theorem for locally sectionable maps. Zbl 1492.18013Brown, Ronald; Janelidze, George; Peschke, George 1 2021 “Not just an idle game”: the story of higher-dimensional versions of the Poincaré fundamental group. Zbl 1495.55001Brown, Ronald 1 2021 Modelling and computing homotopy types: I. Zbl 1423.55015Brown, Ronald 5 2018 Erratum to: “Groupoids, the Phragmen-Brouwer property, and the Jordan curve theorem”. Zbl 1332.57018Brown, Ronald; Antolín Camarena, Omar 1 2015 Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev. Zbl 1237.55001Brown, Ronald; Higgins, Philip J.; Sivera, Rafael 74 2011 Possible connections between whiskered categories and groupoids, Leibniz algebras, automorphism structures and local-to-global questions. Zbl 1278.18005Brown, Ronald 3 2010 Algebraic colimit calculations in homotopy theory using fibred and cofibred categories. Zbl 1169.18006Brown, Ronald; Sivera, Rafael 3 2009 Crossed complexes and higher homotopy groupoids as noncommutative tools for higher dimensional local-to-global problems. Zbl 1214.18014Brown, Ronald 2 2009 Graphs of morphisms of graphs. Zbl 1187.18002Brown, R.; Morris, I.; Shrimpton, J.; Wensley, C. D. 5 2008 A new higher homotopy groupoid: the fundamental globular \(\omega\)-groupoid of a filtered space. Zbl 1141.18007Brown, Ronald 4 2008 Exact sequences of fibrations of crossed complexes, homotopy classification of maps, and nonabelian extensions of groups. Zbl 1191.18009Brown, Ronald 2 2008 Three themes in the work of Charles Ehresmann: local-to-global; groupoids; higher dimensions. Zbl 1123.01015Brown, Ronald 5 2007 Normalisation for the fundamental crossed complex of a simplicial set. Zbl 1184.55007Brown, R.; Sivera, R. 2 2007 Topology and groupoids. 3rd revised, updated and extended ed. Zbl 1093.55001Brown, Ronald 51 2006 Global actions, groupoid atlases and applications. Zbl 1129.55009Bak, A.; Brown, R.; Minian, G.; Porter, T. 6 2006 Groupoids, the Phragmen-Brouwer property, and the Jordan curve theorem. Zbl 1155.57020Brown, Ronald 4 2006 Category theory: an abstract setting for analogy and comparison. Zbl 1235.18001Brown, Ronald; Porter, Timothy 4 2006 String rewriting for double coset systems. Zbl 1126.20022Brown, Ronald; Ghani, Neil; Heyworth, Anne; Wensley, Christopher D. 1 2006 A homotopy double groupoid of a Hausdorff space. II: A van Kampen theorem. Zbl 1076.18004Brown, Ronald; Kamps, K. H.; Porter, Timothy 4 2005 Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems. Zbl 1067.18004Brown, Ronald 4 2004 Galois theory and a new homotopy double groupoid of a map of spaces. Zbl 1050.18005Brown, Ronald; Janelidze, George 4 2004 Homotopies and automorphisms of crossed modules of groupoids. Zbl 1029.20025Brown, Ronald; İçen, İlhan 15 2003 Cubical Abelian groups with connections are equivalent to chain complexes. Zbl 1025.18006Brown, Ronald; Higgins, Philip J. 7 2003 Computation and homotopical applications of induced crossed modules. Zbl 1026.55012Brown, Ronald; Wensley, Christopher D. 6 2003 Towards a 2-dimensional notion of holonomy. Zbl 1039.18004Brown, Ronald; İçen, İlhan 4 2003 Local subgroupoids. II: Examples and properties. Zbl 1043.18005Brown, Ronald; İçen, İlhan; Mucuk, Osman 2 2003 Connections, local subgroupoids, and a holonomy Lie groupoid of a line bundle gerbe. Zbl 1064.58020Brown, Ronald; Glazebrook, James F. 2 2003 Multiple categories: The equivalence of a globular and a cubical approach. Zbl 1013.18003Al-Agl, Fahd Ali; Brown, Ronald; Steiner, Richard 17 2002 A homotopy double groupoid of a Hausdorff space. Zbl 0986.18010Brown, Ronald; Hardie, Keith A.; Kamps, Klaus Heiner; Porter, Timothy 11 2002 Crossed complexes, and free crossed resolutions for amalgamated sums and HNN-extensions of groups. Zbl 1030.55013Brown, R.; Moore, E. J.; Porter, T.; Wensley, C. D. 2 2002 Lie local subgroupoids and their holonomy and monodromy Lie groupoids. Zbl 1006.58016Brown, Ronald; İçen, İlhan 6 2001 Holonomy and monodromy groupoids. Zbl 1051.18008Brown, Ronald; İçen, İlhan; Mucuk, Osman 5 2001 Spaces of maps into classifying spaces for equivariant crossed complexes. II: The general topological group case. Zbl 1012.55018Brown, R.; Golasiński, M.; Porter, T.; Tonks, A. 3 2001 Using rewriting systems to compute left Kan extensions and induced actions of categories. Zbl 0941.18005Brown, Ronald; Heyworth, Anne 3 2000 Groupoids and crossed objects in algebraic topology. Zbl 0920.55002Brown, Ronald 44 1999 Double categories, 2-categories, thin structures and connections. Zbl 0918.18005Brown, Ronald; Mosa, Ghafar H. 16 1999 Free crossed resolutions of groups and presentations of modules of identities among relations. Zbl 0939.20029Brown, Ronald; Salleh, Abdul Razak 3 1999 Galois theory of second order covering maps of simplicial sets. Zbl 0930.55009Brown, Ronald; Janelidze, George 3 1999 Van Kampen theorems for categories of covering morphisms in lextensive categories. Zbl 0882.18005Brown, Ronald; Janelidze, George 11 1997 Spaces of maps into classifying spaces for equivariant crossed complexes. Zbl 0898.55009Brown, R.; Golasiński, M.; Porter, T.; Tonks, A. 6 1997 Foliations, locally Lie groupoids and holonomy. Zbl 0868.22001Brown, Ronald; Mucuk, Osman 10 1996 Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types. Zbl 0856.18011Brown, Ronald; Wensley, Christopher D. 5 1996 On the Schreier theory of non-Abelian extensions: generalisations and computations. Zbl 0885.20018Brown, Ronald; Porter, Timothy 4 1996 Homotopy theory, and change of base for groupoids and multiple groupoids. Zbl 0859.55001Brown, Ronald 4 1996 The monodromy groupoid of a Lie groupoid. Zbl 0844.22006Brown, Ronald; Múcuk, Osman 12 1995 On infinite induced crossed modules and the homotopy 2-type of mapping cones. Zbl 0849.55017Brown, Ronald; Wensley, Christopher D. 3 1995 Covering groups of non-connected topological groups revisited. Zbl 0831.57001Brown, Ronald; Mucuk, Osman 26 1994 Calculations with simplicial and cubical groups in AXIOM. Zbl 0830.20001Brown, Ronald; Tonks, Andrew 1 1994 On relative homotopy groups of the product filtration, the James construction, and a formula of Hopf. Zbl 0785.55007Baues, H. J.; Brown, R. 4 1993 Determination of a double Lie groupoid by its core diagram. Zbl 0766.22001Brown, Ronald; Mackenzie, Kirill C. H. 32 1992 The holonomy groupoid of a locally topological groupoid. Zbl 0855.22007Aof, Mohammed A. E.-S. A.-F.; Brown, Ronald 12 1992 Computing homotopy types using crossed n-cubes of groups. Zbl 0755.55006Brown, Ronald 7 1992 Combinatorial aspects of C. A. R. Hoare’s FIND algorithm. Zbl 0752.68021Anderson, D. H.; Brown, R. 1 1992 The classifying space of a crossed complex. Zbl 0732.55007Brown, Ronald; Higgins, Philip J. 25 1991 Crossed complexes and chain complexes with operators. Zbl 0691.18003Brown, Ronald; Higgins, Philip J. 15 1990 Q-perfect groups and universal Q-central extensions. Zbl 0729.20013Brown, Ronald 13 1990 Algebraic models of 3-types and automorphism structures for crossed modules. Zbl 0645.18007Brown, Ronald; Gilbert, N. D. 39 1989 A model structure for the homotopy theory of crossed complexes. Zbl 0679.55016Brown, Ronald; Golasinski, Marek 12 1989 Hopf formulae for the higher cohomology of a group. Zbl 0611.20032Brown, Ronald; Ellis, Graham J. 41 1988 Topology: A geometric account of general topology, homotopy types and the fundamental groupoid. Rev., updated and expanded ed. Zbl 0655.55001Brown, Ronald 35 1988 Van Kampen theorems for diagrams of spaces. Zbl 0622.55009Brown, Ronald; Loday, Jean-Louis 189 1987 Some computations of non-Abelian tensor products of groups. Zbl 0626.20038Brown, R.; Johnson, D. L.; Robertson, E. F. 96 1987 From groups to groupoids: A brief survey. Zbl 0612.20032Brown, Ronald 77 1987 Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes. Zbl 0621.55009Brown, Ronald; Higgins, Philip J. 39 1987 Homotopical excision, and Hurewicz theorems, for n-cubes of spaces. Zbl 0584.55012Brown, Ronald; Loday, Jean-Louis 21 1987 Lifting amalgamated sums and other colimits of groups and topological groups. Zbl 0644.18001Brown, Ronald; Heath, Philip R. 1 1987 Orbits under symplectic transvections. I; II: The case \(K=F_ 2\). Zbl 0604.51008Brown, Ronald; Humphries, Stephen P. 24 1986 Excision homotopique en basse dimension. (Homotopical excision in low dimension). Zbl 0573.55011Brown, Ronald; Loday, Jean-Louis 35 1984 Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups. Zbl 0519.55009Brown, Ronald 31 1984 A van Kampen theorem for unions of non-connected spaces. Zbl 0521.57002Brown, Ronald; Salleh, Abdul Razak 11 1984 Some non-abelian methods in homotopy theory and homological algebra. Zbl 0558.55001Brown, Ronald 7 1984 Coverings of groupoids and Mayer-Vietoris type sequences. Zbl 0553.18005Brown, Ronald; Heath, Philip R.; Kamps, Klaus Heiner 2 1984 Non-Abelian cohomology and the homotopy classification of maps. Zbl 0548.55018Brown, Ronald 1 1984 Groupoids and the Mayer-Vietoris sequence. Zbl 0522.18010Brown, Ronald; Heath, Philip R.; Kamps, Klaus Heiner 5 1983 Identities among relations. Zbl 0485.57001Brown, R.; Huebschmann, Johannes 34 1982 Higher-dimensional group theory. Zbl 0484.55007Brown, R. 15 1982 Crossed complexes and non-abelian extensions. Zbl 0504.55018Brown, Ronald; Higgins, Philip J. 2 1982 On the algebra of cubes. Zbl 0468.55007Brown, Ronald; Higgins, Philip J. 81 1981 Colimit theorems for relative homotopy groups. Zbl 0475.55009Brown, Ronald; Higgins, Philip J. 52 1981 The equivalence of infinity-groupoids and crossed complexes. Zbl 0487.55007Brown, Ronald; Higgins, Philip J. 26 1981 The equivalence of omega-groupoids and cubical T-complexes. Zbl 0486.55011Brown, Ronald; Higgins, Philip J. 11 1981 On the second relative homotopy group of an adjunction space: An exposition of a theorem of J. H. C. Whitehead. Zbl 0427.55012Brown, Ronald 12 1980 A compact-open topology on partial maps with open domain. Zbl 0436.54012Abd-Allah, Ahmed M.; Brown, Ronald 11 1980 On the connection between the second relative homotopy groups of some related spaces. Zbl 0405.55015Brown, Ronald; Higgins, Philip J. 53 1978 Spaces of partial maps, fibred mapping spaces and the compact-open topology. Zbl 0373.54012Booth, Peter I.; Brown, Ronald 23 1978 Embeddings in contractible or compact objects. Zbl 0389.22005Brown, Ronald; Morris, Sidney A. 6 1978 On the application of fibred mapping spaces to exponential laws for bundles, ex-spaces and other categories of maps. Zbl 0373.54013Booth, Peter I.; Brown, Ronald 5 1978 Sur les complexes croises d’homotopie associes à quelques espaces filtres. Zbl 0374.55008Brown, Ronald; Higgins, Philip J. 4 1978 Sur les complexes croises, \(\omega\)-groupoides, et \(T\)-complexes. Zbl 0379.55013Brown, Ronald; Higgins, Philip J. 9 1977 \(\mathcal G\)-groupoids, crossed modules and the fundamental groupoid of a topological group. Zbl 0333.55011Brown, Ronald; Spencer, Christopher B. 87 1976 Double groupoids and crossed modules. Zbl 0344.18004Brown, Ronald; Spencer, Christopher B. 48 1976 Topological groupoids. II: Covering morphisms and G-spaces. Zbl 0281.22002Brown, R.; Danesh-Naruie, G.; Hardy, J. P. L. 19 1976 Topological groupoids. I: Universal constructions. Zbl 0281.22001Brown, Ronald; Hardy, J. P. L. 9 1976 Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties. Zbl 0304.22001Brown, Ronald; Higgins, Philip J.; Morris, Sidney A. 23 1975 The fundamental groupoid as a topological groupoid. Zbl 0297.55001Brown, R.; Danesh-Naruie, G. 16 1975 Subgroups of free topological groups and free topological products of topological groups. Zbl 0304.22003Brown, R.; Hardy, J. P. L. 11 1975 Some nonprojective subgroups of free topological groups. Zbl 0278.22001Brown, Ronald 8 1975 On sequentially proper maps and a sequential compactification. Zbl 0269.54015Brown, Ronald 4 1974 Groupoids as coefficients. Zbl 0245.20045Brown, Ronald 16 1972 Fibrations of groupoids. Zbl 0194.02202Brown, R. 44 1970 ...and 9 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 897 Authors 42 Brown, Ronald 31 Ellis, Graham J. 24 Ladra González, Manuel 18 Niroomand, Peyman 16 Mucuk, Osman 16 Rocco, Noraí Romeu 15 Cegarra, Antonio Martínez 13 Porter, Timothy 12 Donadze, Guram 12 Inassaridze, Nikoloz 12 Kamps, Klaus Heiner 12 Mikhaĭlov, Roman Valer’evich 11 Gilbert, Nick D. 11 Mackenzie, Kirill Charles Howard 11 Şahan, Tunçar 10 de Araujo Bastos, Raimundo jun. 10 Heath, Philip R. 10 Higgins, Philip John 10 Jafari, Seid Hadi 10 Martins, João Nuno Goncalves Faria 9 Bourn, Dominique 9 Gran, Marino 9 Grandis, Marco 9 Khmaladze, Emzar 9 Moravec, Primož 9 Wu, Jie 8 Baues, Hans-Joachim 8 Carrasco, Pilar C. 8 Hardie, Keith A. 8 Janelidze, George 8 Temel, Sedat 7 Conduché, Daniel 7 Garzón, Antonio R. 7 Morris, Sidney A. 7 Parvizi, Mohsen 7 R-Grandjeán, Alfredo 7 Raussen, Martin 7 Russo, Francesco Giuseppe 7 van der Linden, Tim 7 Wallace, Rodrick 6 Emir, Kadir 6 Gaucher, Philippe 6 Huebschmann, Johannes 6 İçen, İlhan 6 Mantovani, Sandra 6 Martins-Ferreira, Nelson 6 Stewart, Ian Nicholas 6 Thomas, Viji Zachariah 6 Ulualan, Erdal 6 Vitale, Enrico Maria 5 Alp, Murat 5 Baez, John C. 5 Bullejos, Manuel 5 Casas Miras, José Manuel 5 Chasco, María Jesús 5 Everaert, Tomas 5 Grabowski, Janusz 5 Metere, Giuseppe 5 Nickolas, Peter 5 Paoli, Simona 5 Sarmin, Nor Haniza 5 Wensley, Christopher D. 4 Akız, Hürmet Fulya 4 Arvasi, Zekeriya 4 Avcioǧlu, Osman 4 Erfanian, Ahmad 4 Dror Farjoun, Emmanuel 4 García-Martínez, Xabier 4 Golasiński, Marek 4 Grabowska, Katarzyna 4 Hardy, J. P. L. 4 Heunen, Chris 4 Hollings, Christopher David 4 Humphries, Stephen P. 4 Lawson, Jimmie Don 4 Minian, Elias Gabriel 4 Moerdijk, Ieke 4 Odabaş, Alper 4 Paré, Robert 4 Picken, Roger F. 4 Pinedo, Hector 4 Pirashvili, Teimuraz 4 Rivera, Manuel 4 Steiner, Richard J. 4 Yekutieli, Amnon 3 Aggour, A. I. 3 Akça, Ibrahim Ilker 3 Alemdar, Nazmiye 3 Ara, Dimitri 3 Arkhangel’skiĭ, Aleksandr Vladimirovich 3 Böhm, Gabriella 3 Booth, Peter I. 3 Datuashvili, Tamar 3 Davvaz, Bijan 3 Dawson, Robert James MacGregor 3 Di Micco, Davide 3 El Kaoutit, Laiachi 3 Ghani, Neil 3 Heredia, Benjamín A. 3 Hirashima, Yasumasa ...and 797 more Authors all top 5 Cited in 203 Serials 100 Journal of Pure and Applied Algebra 63 Topology and its Applications 54 Journal of Algebra 48 Cahiers de Topologie et Géométrie Différentielle Catégoriques 41 Applied Categorical Structures 35 Advances in Mathematics 33 Communications in Algebra 23 Archiv der Mathematik 23 Transactions of the American Mathematical Society 20 Mathematische Zeitschrift 18 Journal of Homotopy and Related Structures 16 Algebraic & Geometric Topology 13 Glasgow Mathematical Journal 12 Turkish Journal of Mathematics 12 Theory and Applications of Categories 11 Journal of Geometry and Physics 11 Journal of Group Theory 11 Cahiers de Topologie et Géométrie Différentielle Catégoriques 10 Proceedings of the American Mathematical Society 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Journal of Geometric Mechanics 8 Journal of Symbolic Computation 7 Bulletin of the Australian Mathematical Society 7 Israel Journal of Mathematics 7 Journal of Algebra and its Applications 6 Compositio Mathematica 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 International Journal of Algebra and Computation 6 Journal of High Energy Physics 6 Hacettepe Journal of Mathematics and Statistics 6 Categories and General Algebraic Structures with Applications 5 Semigroup Forum 5 Forum Mathematicum 5 Indagationes Mathematicae. New Series 5 Journal of Mathematical Sciences (New York) 5 Asian-European Journal of Mathematics 4 Bulletin de la Société Mathématique de France 4 Mathematische Annalen 4 Mathematische Nachrichten 4 Monatshefte für Mathematik 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Quaestiones Mathematicae 4 Theoretical Computer Science 4 Computer Aided Geometric Design 4 Differential Geometry and its Applications 4 Journal of Algebraic Combinatorics 4 St. Petersburg Mathematical Journal 4 Filomat 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 International Journal of Geometric Methods in Modern Physics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Korean Journal of Mathematics 3 Archive for History of Exact Sciences 3 Communications in Mathematical Physics 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Ukrainian Mathematical Journal 3 Algebra Universalis 3 Inventiones Mathematicae 3 Information and Computation 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Knot Theory and its Ramifications 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of the Egyptian Mathematical Society 3 Georgian Mathematical Journal 3 LMS Journal of Computation and Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Journal of Noncommutative Geometry 3 Tbilisi Mathematical Journal 3 São Paulo Journal of Mathematical Sciences 2 International Journal for Numerical Methods in Fluids 2 Indian Journal of Pure & Applied Mathematics 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Boletim da Sociedade Brasileira de Matemática 2 Colloquium Mathematicum 2 Czechoslovak Mathematical Journal 2 Demonstratio Mathematica 2 Fundamenta Mathematicae 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computer and System Sciences 2 Journal of Functional Analysis 2 Journal of Soviet Mathematics 2 Manuscripta Mathematica 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 European Journal of Combinatorics 2 Annals of Pure and Applied Logic 2 Discrete & Computational Geometry 2 \(K\)-Theory 2 Journal of the American Mathematical Society 2 MSCS. Mathematical Structures in Computer Science 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Applicable Algebra in Engineering, Communication and Computing 2 Experimental Mathematics 2 Annales Mathématiques Blaise Pascal 2 Journal of Lie Theory 2 Geometry & Topology 2 Revista Matemática Complutense 2 Communications in Contemporary Mathematics ...and 103 more Serials all top 5 Cited in 52 Fields 446 Category theory; homological algebra (18-XX) 374 Group theory and generalizations (20-XX) 293 Algebraic topology (55-XX) 146 Manifolds and cell complexes (57-XX) 122 Topological groups, Lie groups (22-XX) 87 General topology (54-XX) 50 Associative rings and algebras (16-XX) 50 Nonassociative rings and algebras (17-XX) 49 Computer science (68-XX) 46 Differential geometry (53-XX) 41 Global analysis, analysis on manifolds (58-XX) 35 Combinatorics (05-XX) 29 \(K\)-theory (19-XX) 28 Algebraic geometry (14-XX) 23 Functional analysis (46-XX) 22 Quantum theory (81-XX) 18 Mathematical logic and foundations (03-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 15 Commutative algebra (13-XX) 14 General algebraic systems (08-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 History and biography (01-XX) 10 Convex and discrete geometry (52-XX) 9 General and overarching topics; collections (00-XX) 9 Mechanics of particles and systems (70-XX) 7 Ordinary differential equations (34-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Abstract harmonic analysis (43-XX) 6 Biology and other natural sciences (92-XX) 5 Field theory and polynomials (12-XX) 5 Operator theory (47-XX) 5 Geometry (51-XX) 4 Number theory (11-XX) 4 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 4 Information and communication theory, circuits (94-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematics education (97-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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