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## Brown, Ronald

Compute Distance To:
 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: 131 Publications since 1963, including 5 Books Reviewing Activity: 34 Reviews Biographic References: 1 Publication
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#### Co-Authors

 40 single-authored 14 Higgins, Philip John 11 Porter, Timothy 7 Wensley, Christopher D. 5 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 Steiner, Richard J. 1 Street, Ross H. 1 Thickstun, Thomas L. 1 Todorov, Ivan T.
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#### 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 1 Computers & Mathematics with Applications 1 IMA Journal of Applied Mathematics 1 Molecular Simulation 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
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#### Fields

 71 Category theory; homological algebra (18-XX) 71 Algebraic topology (55-XX) 48 Group theory and generalizations (20-XX) 27 Manifolds and cell complexes (57-XX) 21 Topological groups, Lie groups (22-XX) 11 General topology (54-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 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 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 Differential geometry (53-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)

#### Citations contained in zbMATH Open

106 Publications have been cited 1,738 times in 883 Documents Cited by Year
Van Kampen theorems for diagrams of spaces. Zbl 0622.55009
Brown, Ronald; Loday, Jean-Louis
1987
Some computations of non-Abelian tensor products of groups. Zbl 0626.20038
Brown, R.; Johnson, D. L.; Robertson, E. F.
1987
On the algebra of cubes. Zbl 0468.55007
Brown, Ronald; Higgins, Philip J.
1981
$$\mathcal G$$-groupoids, crossed modules and the fundamental groupoid of a topological group. Zbl 0333.55011
Brown, Ronald; Spencer, Christopher B.
1976
From groups to groupoids: A brief survey. Zbl 0612.20032
Brown, Ronald
1987
Elements of modern topology. Zbl 0159.52201
Brown, R.
1968
Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev. Zbl 1237.55001
Brown, Ronald; Higgins, Philip J.; Sivera, Rafael
2011
Colimit theorems for relative homotopy groups. Zbl 0475.55009
Brown, Ronald; Higgins, Philip J.
1981
On the connection between the second relative homotopy groups of some related spaces. Zbl 0405.55015
Brown, Ronald; Higgins, Philip J.
1978
Topology and groupoids. 3rd revised, updated and extended ed. Zbl 1093.55001
Brown, Ronald
2006
Fibrations of groupoids. Zbl 0194.02202
Brown, R.
1970
Groupoids and crossed objects in algebraic topology. Zbl 0920.55002
Brown, Ronald
1999
Hopf formulae for the higher cohomology of a group. Zbl 0611.20032
Brown, Ronald; Ellis, Graham J.
1988
Double groupoids and crossed modules. Zbl 0344.18004
Brown, Ronald; Spencer, Christopher B.
1976
Tensor products and homotopies for $$\omega$$-groupoids and crossed complexes. Zbl 0621.55009
Brown, Ronald; Higgins, Philip J.
1987
Topology: A geometric account of general topology, homotopy types and the fundamental groupoid. Rev., updated and expanded ed. Zbl 0655.55001
Brown, Ronald
1988
Algebraic models of 3-types and automorphism structures for crossed modules. Zbl 0645.18007
Brown, Ronald; Gilbert, N. D.
1989
Excision homotopique en basse dimension. (Homotopical excision in low dimension). Zbl 0573.55011
Brown, Ronald; Loday, Jean-Louis
1984
Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups. Zbl 0519.55009
Brown, Ronald
1984
Groupoids and van Kampen’s theorem. Zbl 0149.20002
Brown, R.
1967
Identities among relations. Zbl 0485.57001
Brown, R.; Huebschmann, Johannes
1982
Function spaces and product topologies. Zbl 0126.38503
Brown, R.
1964
Determination of a double Lie groupoid by its core diagram. Zbl 0766.22001
Brown, Ronald; Mackenzie, Kirill C. H.
1992
The equivalence of infinity-groupoids and crossed complexes. Zbl 0487.55007
Brown, Ronald; Higgins, Philip J.
1981
The classifying space of a crossed complex. Zbl 0732.55007
Brown, Ronald; Higgins, Philip J.
1991
Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties. Zbl 0304.22001
Brown, Ronald; Higgins, Philip J.; Morris, Sidney A.
1975
Spaces of partial maps, fibred mapping spaces and the compact-open topology. Zbl 0373.54012
Booth, Peter I.; Brown, Ronald
1978
Ten topologies for $$X\times Y$$. Zbl 0113.37504
Brown, R.
1963
Orbits under symplectic transvections. I; II: The case $$K=F_ 2$$. Zbl 0604.51008
Brown, Ronald; Humphries, Stephen P.
1986
Homotopical excision, and Hurewicz theorems, for n-cubes of spaces. Zbl 0584.55012
Brown, Ronald; Loday, Jean-Louis
1987
Coglueing homotopy equivalences. Zbl 0185.51101
Brown, Ronald; Heath, Philip R.
1970
Groupoids as coefficients. Zbl 0245.20045
Brown, Ronald
1972
Crossed complexes and chain complexes with operators. Zbl 0691.18003
Brown, Ronald; Higgins, Philip J.
1990
Double categories, 2-categories, thin structures and connections. Zbl 0918.18005
Brown, Ronald; Mosa, Ghafar H.
1999
Homotopies and automorphisms of crossed modules of groupoids. Zbl 1029.20025
Brown, Ronald; İçen, İlhan
2003
Covering groups of non-connected topological groups revisited. Zbl 0831.57001
Brown, Ronald; Mucuk, Osman
1994
Q-perfect groups and universal Q-central extensions. Zbl 0729.20013
Brown, Ronald
1990
Multiple categories: The equivalence of a globular and a cubical approach. Zbl 1013.18003
Al-Agl, Fahd Ali; Brown, Ronald; Steiner, Richard
2002
The fundamental groupoid as a topological groupoid. Zbl 0297.55001
Brown, R.; Danesh-Naruie, G.
1975
A model structure for the homotopy theory of crossed complexes. Zbl 0679.55016
Brown, Ronald; Golasinski, Marek
1989
Van Kampen theorems for categories of covering morphisms in lextensive categories. Zbl 0882.18005
Brown, Ronald; Janelidze, George
1997
Topological groupoids. II: Covering morphisms and G-spaces. Zbl 0281.22002
Brown, R.; Danesh-Naruie, G.; Hardy, J. P. L.
1976
Subgroups of free topological groups and free topological products of topological groups. Zbl 0304.22003
Brown, R.; Hardy, J. P. L.
1975
A homotopy double groupoid of a Hausdorff space. Zbl 0986.18010
Brown, Ronald; Hardie, Keith A.; Kamps, Klaus Heiner; Porter, Timothy
2002
On the second relative homotopy group of an adjunction space: An exposition of a theorem of J. H. C. Whitehead. Zbl 0427.55012
Brown, Ronald
1980
The equivalence of omega-groupoids and cubical T-complexes. Zbl 0486.55011
Brown, Ronald; Higgins, Philip J.
1981
The holonomy groupoid of a locally topological groupoid. Zbl 0855.22007
Aof, Mohammed A. E.-S. A.-F.; Brown, Ronald
1992
The monodromy groupoid of a Lie groupoid. Zbl 0844.22006
Brown, Ronald; Múcuk, Osman
1995
A compact-open topology on partial maps with open domain. Zbl 0436.54012
Abd-Allah, Ahmed M.; Brown, Ronald
1980
A van Kampen theorem for unions of non-connected spaces. Zbl 0521.57002
Brown, Ronald; Salleh, Abdul Razak
1984
Sur les complexes croises, $$\omega$$-groupoides, et $$T$$-complexes. Zbl 0379.55013
Brown, Ronald; Higgins, Philip J.
1977
Cohomology with chains as coefficients. Zbl 0125.11402
Brown, R.
1964
Some nonprojective subgroups of free topological groups. Zbl 0278.22001
Brown, Ronald
1975
Cubical Abelian groups with connections are equivalent to chain complexes. Zbl 1025.18006
Brown, Ronald; Higgins, Philip J.
2003
Foliations, locally Lie groupoids and holonomy. Zbl 0868.22001
Brown, Ronald; Mucuk, Osman
1996
Higher-dimensional group theory. Zbl 0484.55007
Brown, R.
1982
Some non-abelian methods in homotopy theory and homological algebra. Zbl 0558.55001
Brown, Ronald
1984
Global actions, groupoid atlases and applications. Zbl 1129.55009
Bak, A.; Brown, R.; Minian, G.; Porter, T.
2006
Spaces of maps into classifying spaces for equivariant crossed complexes. Zbl 0898.55009
Brown, R.; Golasiński, M.; Porter, T.; Tonks, A.
1997
Embeddings in contractible or compact objects. Zbl 0389.22005
Brown, Ronald; Morris, Sidney A.
1978
Graphs of morphisms of graphs. Zbl 1187.18002
Brown, R.; Morris, I.; Shrimpton, J.; Wensley, C. D.
2008
Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types. Zbl 0856.18011
Brown, Ronald; Wensley, Christopher D.
1996
Holonomy and monodromy groupoids. Zbl 1051.18008
Brown, Ronald; İçen, İlhan; Mucuk, Osman
2001
Topological groupoids. I: Universal constructions. Zbl 0281.22001
Brown, Ronald; Hardy, J. P. L.
1976
On the application of fibred mapping spaces to exponential laws for bundles, ex-spaces and other categories of maps. Zbl 0373.54013
Booth, Peter I.; Brown, Ronald
1978
Computation and homotopical applications of induced crossed modules. Zbl 1026.55012
Brown, Ronald; Wensley, Christopher D.
2003
Groupoids and the Mayer-Vietoris sequence. Zbl 0522.18010
Brown, Ronald; Heath, Philip R.; Kamps, Klaus Heiner
1983
Homotopy theory, and change of base for groupoids and multiple groupoids. Zbl 0859.55001
Brown, Ronald
1996
On relative homotopy groups of the product filtration, the James construction, and a formula of Hopf. Zbl 0785.55007
Baues, H. J.; Brown, R.
1993
On sequentially proper maps and a sequential compactification. Zbl 0269.54015
Brown, Ronald
1974
Sur les complexes croises d’homotopie associes à quelques espaces filtres. Zbl 0374.55008
Brown, Ronald; Higgins, Philip J.
1978
Lie local subgroupoids and their holonomy and monodromy Lie groupoids. Zbl 1006.58016
Brown, Ronald; İçen, İlhan
2001
Modelling and computing homotopy types: I. Zbl 1423.55015
Brown, Ronald
2018
Computing homotopy types using crossed n-cubes of groups. Zbl 0755.55006
Brown, Ronald
1992
Free crossed resolutions of groups and presentations of modules of identities among relations. Zbl 0939.20029
Brown, Ronald; Salleh, Abdul Razak
1999
Galois theory of second order covering maps of simplicial sets. Zbl 0930.55009
Brown, Ronald; Janelidze, George
1999
On a method of P. Olum. Zbl 0145.43401
Brown, R.
1965
Two examples in homotopy theory. Zbl 0145.43403
Brown, R.
1966
Towards a 2-dimensional notion of holonomy. Zbl 1039.18004
Brown, Ronald; İçen, İlhan
2003
Galois theory and a new homotopy double groupoid of a map of spaces. Zbl 1050.18005
Brown, Ronald; Janelidze, George
2004
A homotopy double groupoid of a Hausdorff space. II: A van Kampen theorem. Zbl 1076.18004
Brown, Ronald; Kamps, K. H.; Porter, Timothy
2005
Three themes in the work of Charles Ehresmann: local-to-global; groupoids; higher dimensions. Zbl 1123.01015
Brown, Ronald
2007
On the Schreier theory of non-Abelian extensions: generalisations and computations. Zbl 0885.20018
Brown, Ronald; Porter, Timothy
1996
Using rewriting systems to compute left Kan extensions and induced actions of categories. Zbl 0941.18005
Brown, Ronald; Heyworth, Anne
2000
Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems. Zbl 1067.18004
Brown, Ronald
2004
Spaces of maps into classifying spaces for equivariant crossed complexes. II: The general topological group case. Zbl 1012.55018
Brown, R.; Golasiński, M.; Porter, T.; Tonks, A.
2001
Possible connections between whiskered categories and groupoids, Leibniz algebras, automorphism structures and local-to-global questions. Zbl 1278.18005
Brown, Ronald
2010
Groupoids, the Phragmen-Brouwer property, and the Jordan curve theorem. Zbl 1155.57020
Brown, Ronald
2006
Crossed complexes and non-abelian extensions. Zbl 0504.55018
Brown, Ronald; Higgins, Philip J.
1982
Crossed complexes, and free crossed resolutions for amalgamated sums and HNN-extensions of groups. Zbl 1030.55013
Brown, R.; Moore, E. J.; Porter, T.; Wensley, C. D.
2002
Algebraic colimit calculations in homotopy theory using fibred and cofibred categories. Zbl 1169.18006
Brown, Ronald; Sivera, Rafael
2009
A new higher homotopy groupoid: the fundamental globular $$\omega$$-groupoid of a filtered space. Zbl 1141.18007
Brown, Ronald
2008
Normalisation for the fundamental crossed complex of a simplicial set. Zbl 1184.55007
Brown, R.; Sivera, R.
2007
Exact sequences of fibrations of crossed complexes, homotopy classification of maps, and nonabelian extensions of groups. Zbl 1191.18009
Brown, Ronald
2008
On infinite induced crossed modules and the homotopy 2-type of mapping cones. Zbl 0849.55017
Brown, Ronald; Wensley, Christopher D.
1995
Coverings of groupoids and Mayer-Vietoris type sequences. Zbl 0553.18005
Brown, Ronald; Heath, Philip R.; Kamps, Klaus Heiner
1984
Crossed complexes and higher homotopy groupoids as noncommutative tools for higher dimensional local-to-global problems. Zbl 1214.18014
Brown, Ronald
2009
Combinatorial aspects of C. A. R. Hoare’s FIND algorithm. Zbl 0752.68021
Anderson, D. H.; Brown, R.
1992
On Künneth suspensions. Zbl 0133.16401
Brown, R.
1964
String rewriting for double coset systems. Zbl 1126.20022
Brown, Ronald; Ghani, Neil; Heyworth, Anne; Wensley, Christopher D.
2006
Modelling and computing homotopy types: I. Zbl 1423.55015
Brown, Ronald
2018
Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev. Zbl 1237.55001
Brown, Ronald; Higgins, Philip J.; Sivera, Rafael
2011
Possible connections between whiskered categories and groupoids, Leibniz algebras, automorphism structures and local-to-global questions. Zbl 1278.18005
Brown, Ronald
2010
Algebraic colimit calculations in homotopy theory using fibred and cofibred categories. Zbl 1169.18006
Brown, Ronald; Sivera, Rafael
2009
Crossed complexes and higher homotopy groupoids as noncommutative tools for higher dimensional local-to-global problems. Zbl 1214.18014
Brown, Ronald
2009
Graphs of morphisms of graphs. Zbl 1187.18002
Brown, R.; Morris, I.; Shrimpton, J.; Wensley, C. D.
2008
A new higher homotopy groupoid: the fundamental globular $$\omega$$-groupoid of a filtered space. Zbl 1141.18007
Brown, Ronald
2008
Exact sequences of fibrations of crossed complexes, homotopy classification of maps, and nonabelian extensions of groups. Zbl 1191.18009
Brown, Ronald
2008
Three themes in the work of Charles Ehresmann: local-to-global; groupoids; higher dimensions. Zbl 1123.01015
Brown, Ronald
2007
Normalisation for the fundamental crossed complex of a simplicial set. Zbl 1184.55007
Brown, R.; Sivera, R.
2007
Topology and groupoids. 3rd revised, updated and extended ed. Zbl 1093.55001
Brown, Ronald
2006
Global actions, groupoid atlases and applications. Zbl 1129.55009
Bak, A.; Brown, R.; Minian, G.; Porter, T.
2006
Groupoids, the Phragmen-Brouwer property, and the Jordan curve theorem. Zbl 1155.57020
Brown, Ronald
2006
String rewriting for double coset systems. Zbl 1126.20022
Brown, Ronald; Ghani, Neil; Heyworth, Anne; Wensley, Christopher D.
2006
Category theory: an abstract setting for analogy and comparison. Zbl 1235.18001
Brown, Ronald; Porter, Timothy
2006
A homotopy double groupoid of a Hausdorff space. II: A van Kampen theorem. Zbl 1076.18004
Brown, Ronald; Kamps, K. H.; Porter, Timothy
2005
Galois theory and a new homotopy double groupoid of a map of spaces. Zbl 1050.18005
Brown, Ronald; Janelidze, George
2004
Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems. Zbl 1067.18004
Brown, Ronald
2004
Homotopies and automorphisms of crossed modules of groupoids. Zbl 1029.20025
Brown, Ronald; İçen, İlhan
2003
Cubical Abelian groups with connections are equivalent to chain complexes. Zbl 1025.18006
Brown, Ronald; Higgins, Philip J.
2003
Computation and homotopical applications of induced crossed modules. Zbl 1026.55012
Brown, Ronald; Wensley, Christopher D.
2003
Towards a 2-dimensional notion of holonomy. Zbl 1039.18004
Brown, Ronald; İçen, İlhan
2003
Connections, local subgroupoids, and a holonomy Lie groupoid of a line bundle gerbe. Zbl 1064.58020
Brown, Ronald; Glazebrook, James F.
2003
Local subgroupoids. II: Examples and properties. Zbl 1043.18005
Brown, Ronald; İçen, İlhan; Mucuk, Osman
2003
Multiple categories: The equivalence of a globular and a cubical approach. Zbl 1013.18003
Al-Agl, Fahd Ali; Brown, Ronald; Steiner, Richard
2002
A homotopy double groupoid of a Hausdorff space. Zbl 0986.18010
Brown, Ronald; Hardie, Keith A.; Kamps, Klaus Heiner; Porter, Timothy
2002
Crossed complexes, and free crossed resolutions for amalgamated sums and HNN-extensions of groups. Zbl 1030.55013
Brown, R.; Moore, E. J.; Porter, T.; Wensley, C. D.
2002
Holonomy and monodromy groupoids. Zbl 1051.18008
Brown, Ronald; İçen, İlhan; Mucuk, Osman
2001
Lie local subgroupoids and their holonomy and monodromy Lie groupoids. Zbl 1006.58016
Brown, Ronald; İçen, İlhan
2001
Spaces of maps into classifying spaces for equivariant crossed complexes. II: The general topological group case. Zbl 1012.55018
Brown, R.; Golasiński, M.; Porter, T.; Tonks, A.
2001
Using rewriting systems to compute left Kan extensions and induced actions of categories. Zbl 0941.18005
Brown, Ronald; Heyworth, Anne
2000
Groupoids and crossed objects in algebraic topology. Zbl 0920.55002
Brown, Ronald
1999
Double categories, 2-categories, thin structures and connections. Zbl 0918.18005
Brown, Ronald; Mosa, Ghafar H.
1999
Free crossed resolutions of groups and presentations of modules of identities among relations. Zbl 0939.20029
Brown, Ronald; Salleh, Abdul Razak
1999
Galois theory of second order covering maps of simplicial sets. Zbl 0930.55009
Brown, Ronald; Janelidze, George
1999
Van Kampen theorems for categories of covering morphisms in lextensive categories. Zbl 0882.18005
Brown, Ronald; Janelidze, George
1997
Spaces of maps into classifying spaces for equivariant crossed complexes. Zbl 0898.55009
Brown, R.; Golasiński, M.; Porter, T.; Tonks, A.
1997
Foliations, locally Lie groupoids and holonomy. Zbl 0868.22001
Brown, Ronald; Mucuk, Osman
1996
Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types. Zbl 0856.18011
Brown, Ronald; Wensley, Christopher D.
1996
Homotopy theory, and change of base for groupoids and multiple groupoids. Zbl 0859.55001
Brown, Ronald
1996
On the Schreier theory of non-Abelian extensions: generalisations and computations. Zbl 0885.20018
Brown, Ronald; Porter, Timothy
1996
The monodromy groupoid of a Lie groupoid. Zbl 0844.22006
Brown, Ronald; Múcuk, Osman
1995
On infinite induced crossed modules and the homotopy 2-type of mapping cones. Zbl 0849.55017
Brown, Ronald; Wensley, Christopher D.
1995
Covering groups of non-connected topological groups revisited. Zbl 0831.57001
Brown, Ronald; Mucuk, Osman
1994
Calculations with simplicial and cubical groups in AXIOM. Zbl 0830.20001
Brown, Ronald; Tonks, Andrew
1994
On relative homotopy groups of the product filtration, the James construction, and a formula of Hopf. Zbl 0785.55007
Baues, H. J.; Brown, R.
1993
Determination of a double Lie groupoid by its core diagram. Zbl 0766.22001
Brown, Ronald; Mackenzie, Kirill C. H.
1992
The holonomy groupoid of a locally topological groupoid. Zbl 0855.22007
Aof, Mohammed A. E.-S. A.-F.; Brown, Ronald
1992
Computing homotopy types using crossed n-cubes of groups. Zbl 0755.55006
Brown, Ronald
1992
Combinatorial aspects of C. A. R. Hoare’s FIND algorithm. Zbl 0752.68021
Anderson, D. H.; Brown, R.
1992
The classifying space of a crossed complex. Zbl 0732.55007
Brown, Ronald; Higgins, Philip J.
1991
Crossed complexes and chain complexes with operators. Zbl 0691.18003
Brown, Ronald; Higgins, Philip J.
1990
Q-perfect groups and universal Q-central extensions. Zbl 0729.20013
Brown, Ronald
1990
Algebraic models of 3-types and automorphism structures for crossed modules. Zbl 0645.18007
Brown, Ronald; Gilbert, N. D.
1989
A model structure for the homotopy theory of crossed complexes. Zbl 0679.55016
Brown, Ronald; Golasinski, Marek
1989
Hopf formulae for the higher cohomology of a group. Zbl 0611.20032
Brown, Ronald; Ellis, Graham J.
1988
Topology: A geometric account of general topology, homotopy types and the fundamental groupoid. Rev., updated and expanded ed. Zbl 0655.55001
Brown, Ronald
1988
Van Kampen theorems for diagrams of spaces. Zbl 0622.55009
Brown, Ronald; Loday, Jean-Louis
1987
Some computations of non-Abelian tensor products of groups. Zbl 0626.20038
Brown, R.; Johnson, D. L.; Robertson, E. F.
1987
From groups to groupoids: A brief survey. Zbl 0612.20032
Brown, Ronald
1987
Tensor products and homotopies for $$\omega$$-groupoids and crossed complexes. Zbl 0621.55009
Brown, Ronald; Higgins, Philip J.
1987
Homotopical excision, and Hurewicz theorems, for n-cubes of spaces. Zbl 0584.55012
Brown, Ronald; Loday, Jean-Louis
1987
Lifting amalgamated sums and other colimits of groups and topological groups. Zbl 0644.18001
Brown, Ronald; Heath, Philip R.
1987
Orbits under symplectic transvections. I; II: The case $$K=F_ 2$$. Zbl 0604.51008
Brown, Ronald; Humphries, Stephen P.
1986
Excision homotopique en basse dimension. (Homotopical excision in low dimension). Zbl 0573.55011
Brown, Ronald; Loday, Jean-Louis
1984
Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups. Zbl 0519.55009
Brown, Ronald
1984
A van Kampen theorem for unions of non-connected spaces. Zbl 0521.57002
Brown, Ronald; Salleh, Abdul Razak
1984
Some non-abelian methods in homotopy theory and homological algebra. Zbl 0558.55001
Brown, Ronald
1984
Coverings of groupoids and Mayer-Vietoris type sequences. Zbl 0553.18005
Brown, Ronald; Heath, Philip R.; Kamps, Klaus Heiner
1984
Non-Abelian cohomology and the homotopy classification of maps. Zbl 0548.55018
Brown, Ronald
1984
Groupoids and the Mayer-Vietoris sequence. Zbl 0522.18010
Brown, Ronald; Heath, Philip R.; Kamps, Klaus Heiner
1983
Identities among relations. Zbl 0485.57001
Brown, R.; Huebschmann, Johannes
1982
Higher-dimensional group theory. Zbl 0484.55007
Brown, R.
1982
Crossed complexes and non-abelian extensions. Zbl 0504.55018
Brown, Ronald; Higgins, Philip J.
1982
On the algebra of cubes. Zbl 0468.55007
Brown, Ronald; Higgins, Philip J.
1981
Colimit theorems for relative homotopy groups. Zbl 0475.55009
Brown, Ronald; Higgins, Philip J.
1981
The equivalence of infinity-groupoids and crossed complexes. Zbl 0487.55007
Brown, Ronald; Higgins, Philip J.
1981
The equivalence of omega-groupoids and cubical T-complexes. Zbl 0486.55011
Brown, Ronald; Higgins, Philip J.
1981
On the second relative homotopy group of an adjunction space: An exposition of a theorem of J. H. C. Whitehead. Zbl 0427.55012
Brown, Ronald
1980
A compact-open topology on partial maps with open domain. Zbl 0436.54012
Abd-Allah, Ahmed M.; Brown, Ronald
1980
On the connection between the second relative homotopy groups of some related spaces. Zbl 0405.55015
Brown, Ronald; Higgins, Philip J.
1978
Spaces of partial maps, fibred mapping spaces and the compact-open topology. Zbl 0373.54012
Booth, Peter I.; Brown, Ronald
1978
Embeddings in contractible or compact objects. Zbl 0389.22005
Brown, Ronald; Morris, Sidney A.
1978
On the application of fibred mapping spaces to exponential laws for bundles, ex-spaces and other categories of maps. Zbl 0373.54013
Booth, Peter I.; Brown, Ronald
1978
Sur les complexes croises d’homotopie associes à quelques espaces filtres. Zbl 0374.55008
Brown, Ronald; Higgins, Philip J.
1978
Sur les complexes croises, $$\omega$$-groupoides, et $$T$$-complexes. Zbl 0379.55013
Brown, Ronald; Higgins, Philip J.
1977
$$\mathcal G$$-groupoids, crossed modules and the fundamental groupoid of a topological group. Zbl 0333.55011
Brown, Ronald; Spencer, Christopher B.
1976
Double groupoids and crossed modules. Zbl 0344.18004
Brown, Ronald; Spencer, Christopher B.
1976
Topological groupoids. II: Covering morphisms and G-spaces. Zbl 0281.22002
Brown, R.; Danesh-Naruie, G.; Hardy, J. P. L.
1976
Topological groupoids. I: Universal constructions. Zbl 0281.22001
Brown, Ronald; Hardy, J. P. L.
1976
Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties. Zbl 0304.22001
Brown, Ronald; Higgins, Philip J.; Morris, Sidney A.
1975
The fundamental groupoid as a topological groupoid. Zbl 0297.55001
Brown, R.; Danesh-Naruie, G.
1975
Subgroups of free topological groups and free topological products of topological groups. Zbl 0304.22003
Brown, R.; Hardy, J. P. L.
1975
Some nonprojective subgroups of free topological groups. Zbl 0278.22001
Brown, Ronald
1975
On sequentially proper maps and a sequential compactification. Zbl 0269.54015
Brown, Ronald
1974
Groupoids as coefficients. Zbl 0245.20045
Brown, Ronald
1972
Fibrations of groupoids. Zbl 0194.02202
Brown, R.
1970
Coglueing homotopy equivalences. Zbl 0185.51101
Brown, Ronald; Heath, Philip R.
1970
Elements of modern topology. Zbl 0159.52201
Brown, R.
1968
Groupoids and van Kampen’s theorem. Zbl 0149.20002
Brown, R.
1967
...and 6 more Documents
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#### Cited by 801 Authors

 41 Brown, Ronald 31 Ellis, Graham J. 24 Ladra González, Manuel 17 Niroomand, Peyman 15 Cegarra, Antonio Martínez 13 Porter, Timothy 12 Inassaridze, Nikoloz 12 Kamps, Klaus Heiner 12 Mikhaĭlov, Roman Valer’evich 12 Rocco, Noraí Romeu 11 Donadze, Guram 11 Mucuk, Osman 10 Gilbert, Nick D. 10 Heath, Philip R. 10 Higgins, Philip John 10 Martins, João Nuno Goncalves Faria 9 Bourn, Dominique 9 Gran, Marino 9 Grandis, Marco 9 Wu, Jie 8 Baues, Hans-Joachim 8 Carrasco, Pilar C. 8 Hardie, Keith A. 8 Janelidze, George 8 Khmaladze, Emzar 8 Moravec, Primož 8 Şahan, Tunçar 7 de Araujo Bastos, Raimundo jun. 7 Conduché, Daniel 7 Garzón, Antonio R. 7 Jafari, Seid Hadi 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 Gaucher, Philippe 6 Mantovani, Sandra 6 Vitale, Enrico Maria 5 Baez, John C. 5 Bullejos, Manuel 5 Chasco, María Jesús 5 Emir, Kadir 5 Everaert, Tomas 5 Grabowski, Janusz 5 Huebschmann, Johannes 5 Mackenzie, Kirill Charles Howard 5 Martins-Ferreira, Nelson 5 Metere, Giuseppe 5 Nickolas, Peter 5 Paoli, Simona 5 Sarmin, Nor Haniza 5 Stewart, Ian Nicholas 5 Temel, Sedat 5 Ulualan, Erdal 4 Alp, Murat 4 Avcioǧlu, Osman 4 Casas Miras, José Manuel 4 Erfanian, Ahmad 4 Dror Farjoun, Emmanuel 4 Golasiński, Marek 4 Grabowska, Katarzyna 4 Hardy, J. P. L. 4 Hollings, Christopher David 4 Humphries, Stephen P. 4 İçen, İlhan 4 Lawson, Jimmie Don 4 Mackenzie, Kirill 4 Minian, Elias Gabriel 4 Moerdijk, Ieke 4 Paré, Robert 4 Picken, Roger F. 4 Pirashvili, Teimuraz 4 Steiner, Richard J. 4 Thomas, Viji Z. 4 Wensley, Christopher D. 4 Yekutieli, Amnon 3 Aggour, A. I. 3 Akça, Ibrahim Ilker 3 Akız, Hürmet Fulya 3 Arkhangel’skiĭ, Aleksandr Vladimirovich 3 Böhm, Gabriella 3 Booth, Peter I. 3 Datuashvili, Tamar 3 Dawson, Robert James MacGregor 3 Di Micco, Davide 3 El Kaoutit, Laiachi 3 García-Martínez, Xabier 3 Ghani, Neil 3 Heredia, Benjamín A. 3 Hirashima, Yasumasa 3 Holá, Ľubica 3 Howie, James 3 Ivanov, Sergei Olegovich 3 Janelidze, Zurab 3 Kappe, Luise-Charlotte 3 Kapranov, Mikhail M. 3 Kieboom, Rudger W. ...and 701 more Authors
all top 5

#### Cited in 185 Serials

 95 Journal of Pure and Applied Algebra 61 Topology and its Applications 51 Journal of Algebra 48 Cahiers de Topologie et Géométrie Différentielle Catégoriques 39 Applied Categorical Structures 34 Advances in Mathematics 30 Communications in Algebra 23 Archiv der Mathematik 23 Transactions of the American Mathematical Society 19 Mathematische Zeitschrift 18 Journal of Homotopy and Related Structures 15 Algebraic & Geometric Topology 13 Glasgow Mathematical Journal 12 Theory and Applications of Categories 11 Cahiers de Topologie et Géométrie Différentielle Catégoriques 10 Proceedings of the American Mathematical Society 10 Journal of Group Theory 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Journal of Geometry and Physics 7 Bulletin of the Australian Mathematical Society 7 Journal of Symbolic Computation 6 Israel Journal of Mathematics 6 Compositio Mathematica 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 International Journal of Algebra and Computation 6 Turkish Journal of Mathematics 6 Journal of Algebra and its Applications 5 Semigroup Forum 5 Indagationes Mathematicae. New Series 5 Journal of Mathematical Sciences (New York) 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 Forum Mathematicum 4 Differential Geometry and its Applications 4 Journal of Algebraic Combinatorics 4 Journal of High Energy Physics 4 International Journal of Geometric Methods in Modern Physics 4 Asian-European Journal of Mathematics 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 Algebra Universalis 3 Inventiones Mathematicae 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 St. Petersburg Mathematical Journal 3 Journal of the Egyptian Mathematical Society 3 Georgian Mathematical Journal 3 LMS Journal of Computation and Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Tbilisi Mathematical Journal 2 International Journal for Numerical Methods in Fluids 2 Ukrainian Mathematical Journal 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Boletim da Sociedade Brasileira de Matemática 2 Czechoslovak Mathematical Journal 2 Demonstratio Mathematica 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 Discrete & Computational Geometry 2 $$K$$-Theory 2 Information and Computation 2 Journal of the American Mathematical Society 2 MSCS. Mathematical Structures in Computer Science 2 Applicable Algebra in Engineering, Communication and Computing 2 Annales Mathématiques Blaise Pascal 2 Journal of Lie Theory 2 Geometry & Topology 2 Revista Matemática Complutense 2 Communications in Contemporary Mathematics 2 Dynamical Systems 2 Hacettepe Journal of Mathematics and Statistics 2 Mediterranean Journal of Mathematics 2 Journal of Noncommutative Geometry 2 European Journal of Pure and Applied Mathematics 2 São Paulo Journal of Mathematical Sciences 2 Categories and General Algebraic Structures with Applications 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra ...and 85 more Serials
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#### Cited in 50 Fields

 399 Category theory; homological algebra (18-XX) 333 Group theory and generalizations (20-XX) 275 Algebraic topology (55-XX) 129 Manifolds and cell complexes (57-XX) 106 Topological groups, Lie groups (22-XX) 82 General topology (54-XX) 46 Associative rings and algebras (16-XX) 44 Computer science (68-XX) 43 Nonassociative rings and algebras (17-XX) 36 Global analysis, analysis on manifolds (58-XX) 35 Differential geometry (53-XX) 32 Combinatorics (05-XX) 26 $$K$$-theory (19-XX) 22 Algebraic geometry (14-XX) 21 Functional analysis (46-XX) 15 Mathematical logic and foundations (03-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Quantum theory (81-XX) 12 General algebraic systems (08-XX) 12 Commutative algebra (13-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Convex and discrete geometry (52-XX) 8 History and biography (01-XX) 7 Mechanics of particles and systems (70-XX) 6 Ordinary differential equations (34-XX) 6 Abstract harmonic analysis (43-XX) 6 Biology and other natural sciences (92-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Numerical analysis (65-XX) 4 Number theory (11-XX) 4 Field theory and polynomials (12-XX) 4 Partial differential equations (35-XX) 4 Geometry (51-XX) 4 Information and communication theory, circuits (94-XX) 3 Measure and integration (28-XX) 3 Operator theory (47-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

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