Edit Profile (opens in new tab) Garzón, Antonio R. Co-Author Distance Author ID: garzon.antonio-r Published as: Garzón, Antonio R.; Garzón, A. R.; Garzon, A. R.; Garzon, Antonio R.; Garzón, Antonio more...less Homepage: http://www.ugr.es/~agarzon/ Documents Indexed: 44 Publications since 1983 Reviewing Activity: 61 Reviews Co-Authors: 12 Co-Authors with 42 Joint Publications 91 Co-Co-Authors all top 5 Co-Authors 1 single-authored 20 Cegarra, Antonio Martínez 13 Carrasco, Pilar C. 11 Miranda, Jesús G. 5 del Río, Aurora 3 García Cabello, Julia 2 Bullejos, Manuel 2 Inassaridze, Hvedri 2 Vitale, Enrico Maria 1 Osorio, Roberto R. 1 Pérez, Rocio 1 R-Grandjeán, Alfredo 1 Rio, Anna all top 5 Serials 5 Applied Categorical Structures 5 Theory and Applications of Categories 4 Journal of Pure and Applied Algebra 4 Comptes Rendus de l’Académie des Sciences. Série I 2 Communications in Algebra 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Journal of Algebra 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Homology, Homotopy and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Mathematische Nachrichten 1 Topology and its Applications 1 Extracta Mathematicae 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Georgian Mathematical Journal 1 Finite Fields and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Algebraic & Geometric Topology 1 International Mathematical Journal 1 Journal of Homotopy and Related Structures all top 5 Fields 35 Category theory; homological algebra (18-XX) 20 Algebraic topology (55-XX) 13 Group theory and generalizations (20-XX) 6 Associative rings and algebras (16-XX) 2 Algebraic geometry (14-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 140 times in 88 Documents Cited by ▼ Year ▼ Nerves and classifying spaces for bicategories. Zbl 1183.18005 Carrasco, Pilar; Cegarra, Antonio M.; Garzón, Antonio R. 21 2010 Semidirect products of categorical groups. Obstruction theory. Zbl 0984.18005 Garzón, Antonio; Inassaridze, Hvedri 13 2001 Homotopy classification of categorial torsors. Zbl 1007.18015 Cegarra, Antonio M.; Garzón, Antonio R. 11 2001 Classifying spaces for braided monoidal categories and lax diagrams of bicategories. Zbl 1227.18004 Carrasco, P.; Cegarra, A. M.; Garzón, A. R. 10 2011 Closed model structures for algebraic models of \(n\)-types. Zbl 0837.55014 Cabello, Julia G.; Garzón, Antonio R. 9 1995 Higher dimensional obstruction theory in algebraic categories. Zbl 0634.18004 Cegarra, A. M.; Bullejos, M.; Garzón, A. R. 7 1987 Obstructions to Clifford system extensions of algebras. Zbl 0985.16030 Cegarra, Antonio M.; Garzón, Antonio R. 7 2001 Graded extensions of monoidal categories. Zbl 0988.18004 Cegarra, A. M.; Garzón, A. R.; Ortega, J. A. 6 2001 Schreier theory for singular extensions of categorical groups and homotopy classification. Zbl 0969.18013 Carrasco, Pilar; Garzón, Antonio R.; Miranda, Jesús G. 5 2000 Obstruction theory for extensions of categorical groups. Zbl 1047.18009 Carrasco, P.; Garzón, A. R. 5 2004 On categorical crossed modules. Zbl 1110.18005 Carrasco, P.; Garzon, A. R.; Vitale, E. M. 5 2006 Derivations of categorical groups. Zbl 1063.18006 Garzón, A. R.; Inassaridze, H.; del Río, A. 5 2004 Homotopy theory for (braided) cat-groups. Zbl 0880.18006 Garzon, Antonio R.; Miranda, Jesus G. 4 1997 Quillen’s theory for algebraic models on \(n\)-types. (Research announcement). Zbl 1032.55500 Cabello, J. G.; Garzon, A. R. 4 1994 Some algebraic applications of graded categorical group theory. Zbl 1019.18004 Cegarra, A. M.; Garzón, A. R. 4 2003 The classifying space of a categorical crossed module. Zbl 1280.18004 Carrasco, Pilar; Cegarra, Antonio M.; Garzón, Antonio R. 4 2010 Graded extensions of categories. Zbl 0965.18006 Cegarra, A. M.; Garzón, A. R.; Grandjean, A. R. 3 2000 The homotopy categorical crossed module of a CW-complex. Zbl 1223.18004 Carrasco, P.; Cegarra, A. M.; Garzón, A. R. 3 2007 Tensor structures on homotopy groupoids of topological spaces. Zbl 1221.18005 Garzón, Antonio R.; Miranda, Jesús G.; del Río, Aurora 2 2002 Bases of Riemann-Roch spaces from Kummer extensions and algebraic geometry codes. Zbl 1531.14038 Garzón, A.; Navarro, H. 2 2022 On the second cohomology categorical group and a Hochschild-Serre 2-exact sequence. Zbl 1351.18006 Garzon, A. R.; Vitale, E. M. 2 2015 Cohomological and homotopic classification of singular extensions of Gr-categories. (Singular extensions of Gr-categories). (Classification cohomologique et homotopique des extensions singulières de Gr-catégories. (Extensions singulières de Gr-catégories).) Zbl 0937.18004 Carrasco, Pilar C.; Garzón, Antonio R.; Miranda, Jesús G. 1 1999 Models for homotopy \(n\)-types in diagram categories. Zbl 0858.55009 Garzón, Antonio R.; Miranda, Jesús G. 1 1996 Homotopy theory for truncated weak equivalences of simplicial groups. Zbl 0903.55004 Garzón, Antonio R.; Miranda, Jesús G. 1 1997 A long exact sequence in non-abelian cohomology. Zbl 0755.18006 Cegarra, Antonio M.; Garzón, Antonio R. 1 1991 La principalité dans la théorie de l’obstruction de dimension 3. Un allongement de la suite de cohomologie non abélienne des groupes. (The principality in the 3-dimensional obstruction theory. An elongation of the nonabelian cohomology sequence of groups). Zbl 0599.18008 Cegarra, Antonio M.; Garzón, Antonio R. 1 1986 Sur l’annulation des groupes de cohomologie de Shukla d’une algèbre associative à coefficients dans un module injectif. Zbl 0529.13007 Cegarra, Antonio M.; Garzon, Antonio R. 1 1983 The Whitehead categorical group of derivations. Zbl 1027.18004 Garzón, A. R.; del Río, A. 1 2002 Equivariant extensions of categorical groups. Zbl 1072.18007 Garzón, A. R.; Río, A. 1 2005 Equivariant Brauer groups and cohomology. Zbl 1144.16016 Cegarra, A. M.; Garzón, A. R. 1 2006 On \(\mathcal H^{1}\) of categorical groups. Zbl 1114.18004 Garzón, Antonio R.; del Río, Aurora 1 2006 Bases of Riemann-Roch spaces from Kummer extensions and algebraic geometry codes. Zbl 1531.14038 Garzón, A.; Navarro, H. 2 2022 On the second cohomology categorical group and a Hochschild-Serre 2-exact sequence. Zbl 1351.18006 Garzon, A. R.; Vitale, E. M. 2 2015 Classifying spaces for braided monoidal categories and lax diagrams of bicategories. Zbl 1227.18004 Carrasco, P.; Cegarra, A. M.; Garzón, A. R. 10 2011 Nerves and classifying spaces for bicategories. Zbl 1183.18005 Carrasco, Pilar; Cegarra, Antonio M.; Garzón, Antonio R. 21 2010 The classifying space of a categorical crossed module. Zbl 1280.18004 Carrasco, Pilar; Cegarra, Antonio M.; Garzón, Antonio R. 4 2010 The homotopy categorical crossed module of a CW-complex. Zbl 1223.18004 Carrasco, P.; Cegarra, A. M.; Garzón, A. R. 3 2007 On categorical crossed modules. Zbl 1110.18005 Carrasco, P.; Garzon, A. R.; Vitale, E. M. 5 2006 Equivariant Brauer groups and cohomology. Zbl 1144.16016 Cegarra, A. M.; Garzón, A. R. 1 2006 On \(\mathcal H^{1}\) of categorical groups. Zbl 1114.18004 Garzón, Antonio R.; del Río, Aurora 1 2006 Equivariant extensions of categorical groups. Zbl 1072.18007 Garzón, A. R.; Río, A. 1 2005 Obstruction theory for extensions of categorical groups. Zbl 1047.18009 Carrasco, P.; Garzón, A. R. 5 2004 Derivations of categorical groups. Zbl 1063.18006 Garzón, A. R.; Inassaridze, H.; del Río, A. 5 2004 Some algebraic applications of graded categorical group theory. Zbl 1019.18004 Cegarra, A. M.; Garzón, A. R. 4 2003 Tensor structures on homotopy groupoids of topological spaces. Zbl 1221.18005 Garzón, Antonio R.; Miranda, Jesús G.; del Río, Aurora 2 2002 The Whitehead categorical group of derivations. Zbl 1027.18004 Garzón, A. R.; del Río, A. 1 2002 Semidirect products of categorical groups. Obstruction theory. Zbl 0984.18005 Garzón, Antonio; Inassaridze, Hvedri 13 2001 Homotopy classification of categorial torsors. Zbl 1007.18015 Cegarra, Antonio M.; Garzón, Antonio R. 11 2001 Obstructions to Clifford system extensions of algebras. Zbl 0985.16030 Cegarra, Antonio M.; Garzón, Antonio R. 7 2001 Graded extensions of monoidal categories. Zbl 0988.18004 Cegarra, A. M.; Garzón, A. R.; Ortega, J. A. 6 2001 Schreier theory for singular extensions of categorical groups and homotopy classification. Zbl 0969.18013 Carrasco, Pilar; Garzón, Antonio R.; Miranda, Jesús G. 5 2000 Graded extensions of categories. Zbl 0965.18006 Cegarra, A. M.; Garzón, A. R.; Grandjean, A. R. 3 2000 Cohomological and homotopic classification of singular extensions of Gr-categories. (Singular extensions of Gr-categories). (Classification cohomologique et homotopique des extensions singulières de Gr-catégories. (Extensions singulières de Gr-catégories).) Zbl 0937.18004 Carrasco, Pilar C.; Garzón, Antonio R.; Miranda, Jesús G. 1 1999 Homotopy theory for (braided) cat-groups. Zbl 0880.18006 Garzon, Antonio R.; Miranda, Jesus G. 4 1997 Homotopy theory for truncated weak equivalences of simplicial groups. Zbl 0903.55004 Garzón, Antonio R.; Miranda, Jesús G. 1 1997 Models for homotopy \(n\)-types in diagram categories. Zbl 0858.55009 Garzón, Antonio R.; Miranda, Jesús G. 1 1996 Closed model structures for algebraic models of \(n\)-types. Zbl 0837.55014 Cabello, Julia G.; Garzón, Antonio R. 9 1995 Quillen’s theory for algebraic models on \(n\)-types. (Research announcement). Zbl 1032.55500 Cabello, J. G.; Garzon, A. R. 4 1994 A long exact sequence in non-abelian cohomology. Zbl 0755.18006 Cegarra, Antonio M.; Garzón, Antonio R. 1 1991 Higher dimensional obstruction theory in algebraic categories. Zbl 0634.18004 Cegarra, A. M.; Bullejos, M.; Garzón, A. R. 7 1987 La principalité dans la théorie de l’obstruction de dimension 3. Un allongement de la suite de cohomologie non abélienne des groupes. (The principality in the 3-dimensional obstruction theory. An elongation of the nonabelian cohomology sequence of groups). Zbl 0599.18008 Cegarra, Antonio M.; Garzón, Antonio R. 1 1986 Sur l’annulation des groupes de cohomologie de Shukla d’une algèbre associative à coefficients dans un module injectif. Zbl 0529.13007 Cegarra, Antonio M.; Garzon, Antonio R. 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 81 Authors 18 Cegarra, Antonio Martínez 14 Garzón, Antonio R. 8 Carrasco, Pilar C. 6 Osorno, Angélica Maria 5 Gurski, Nick 4 Elgueta, Josep 4 Heredia, Benjamín A. 4 Johnson, Niles 3 García Cabello, Julia 3 Ginosar, Yuval 3 Huebschmann, Johannes 3 Martins-Ferreira, Nelson 3 Martins, João Nuno Goncalves Faria 3 Miranda, Jesús G. 3 Quang, Nguyen Tien 3 Vitale, Enrico Maria 2 Aljadeff, Eli 2 Blanc, David Abraham 2 Bullejos, Manuel 2 Cigoli, Alan S. 2 Davvaz, Bijan 2 Dehghani, Mohammad Ali 2 del Río, Aurora 2 Emir, Kadir 2 Hernández Paricio, Luis Javier 2 Khmaladze, Emzar 2 Martínez-Moreno, Juan 2 Metere, Giuseppe 2 Montoli, Andrea 2 Nanda, Vidit 2 Patchkoria, Alex 2 Phung, Che Thi Kim 2 Rivas Rodríguez, María Teresa 2 Sobral, Manuela 1 Akça, İlker 1 Alcalá, Ramón Abud 1 Alp, Murat 1 Ara, Dimitri 1 Arote, Prashant 1 Bartlett, Bruce 1 Beke, Tibor 1 Çetin, Selim 1 Clausen, Dustin 1 Cuc, Pham Thi 1 del Río, Angel 1 Deshpande, Tanmay 1 Donadze, Guram 1 Etingof, Pavel Il’ich 1 Extremiana Aldana, José Ignacio 1 Fernández-Fariña, Alejandro 1 Garzón, B. A. R. 1 Gohla, Björn 1 Hanh, Dang Dinh 1 Inassaridze, Hvedri 1 Inassaridze, Nikoloz 1 Janelidze, George 1 Janelidze, Zurab 1 Jansen, Mikala Ørsnes 1 Jurčo, Branislav 1 Kadison, Lars 1 Ladra González, Manuel 1 Liu, Guohua 1 Magid, Andy Roy 1 Maltsiniotis, Georges 1 Mantovani, Sandra 1 Morava, Jack Johnson 1 Nikshych, Dmitri 1 Noohi, Behrang 1 Ostrik, Victor Valentinovich 1 Ozornova, Viktoriya 1 Paoli, Simona 1 Picken, Roger F. 1 Rio, Anna 1 Rolfsen, Dale 1 Rovelli, Martina 1 Stephan, Marc 1 Tamaki, Dai 1 Tanaka, Kohei 1 van der Linden, Tim 1 Wang, Wei 1 Zhu, Shenglin all top 5 Cited in 34 Serials 15 Journal of Pure and Applied Algebra 10 Journal of Homotopy and Related Structures 9 Advances in Mathematics 7 Journal of Algebra 7 Algebraic & Geometric Topology 6 Applied Categorical Structures 4 Communications in Algebra 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Topology and its Applications 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 International Journal of Geometric Methods in Modern Physics 1 Quantum Topology 1 Journal of Mathematical Extension 1 Algebra all top 5 Cited in 20 Fields 70 Category theory; homological algebra (18-XX) 44 Algebraic topology (55-XX) 27 Group theory and generalizations (20-XX) 14 Associative rings and algebras (16-XX) 8 \(K\)-theory (19-XX) 4 Commutative algebra (13-XX) 4 Manifolds and cell complexes (57-XX) 3 Field theory and polynomials (12-XX) 3 Differential geometry (53-XX) 2 General algebraic systems (08-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year