Cegarra, Antonio M. Double groupoids and Postnikov invariants. (English) Zbl 1512.18004 Cah. Topol. Géom. Différ. Catég. 64, No. 2, 125-175 (2023). Reviewer: Geoffrey Powell (Angers) MSC: 18D40 20L05 55Q05 55S45 55U40 PDFBibTeX XMLCite \textit{A. M. Cegarra}, Cah. Topol. Géom. Différ. Catég. 64, No. 2, 125--175 (2023; Zbl 1512.18004) Full Text: Link
Cegarra, A. M.; Heredia, B. A. Homotopy colimits of 2-functors. (English) Zbl 1358.18002 J. Homotopy Relat. Struct. 11, No. 4, 735-774 (2016). Reviewer: Antonio R. Garzón (Granada) MSC: 18D05 55P15 18F25 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{B. A. Heredia}, J. Homotopy Relat. Struct. 11, No. 4, 735--774 (2016; Zbl 1358.18002) Full Text: DOI arXiv
Cegarra, A. M.; Heredia, B. A.; Remedios, J. Bicategorical homotopy pullbacks. (English) Zbl 1361.18002 Theory Appl. Categ. 30, 147-205 (2015). MSC: 18D05 18D10 55P15 55R65 PDFBibTeX XMLCite \textit{A. M. Cegarra} et al., Theory Appl. Categ. 30, 147--205 (2015; Zbl 1361.18002) Full Text: arXiv EMIS
Calvo, M.; Cegarra, A. M.; Heredia, B. A. Bicategorical homotopy fiber sequences. (English) Zbl 1311.18007 J. Homotopy Relat. Struct. 9, No. 1, 125-173 (2014). Reviewer: Sinan Yalin (Luxembourg) MSC: 18D05 18D10 55P15 55R65 PDFBibTeX XMLCite \textit{M. Calvo} et al., J. Homotopy Relat. Struct. 9, No. 1, 125--173 (2014; Zbl 1311.18007) Full Text: DOI arXiv
Cegarra, Antonio M.; Heredia, Benjamín A. Comparing geometric realizations of tricategories. (English) Zbl 1321.18004 Algebr. Geom. Topol. 14, No. 4, 1997-2064 (2014). Reviewer: Ross H. Street (North Ryde) MSC: 18D05 55P15 18D10 55P35 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{B. A. Heredia}, Algebr. Geom. Topol. 14, No. 4, 1997--2064 (2014; Zbl 1321.18004) Full Text: DOI arXiv
Cegarra, Antonio Martínez; Heredia, Benjamín A.; Remedios, Josué Double groupoids and homotopy 2-types. (English) Zbl 1263.18003 Appl. Categ. Struct. 20, No. 4, 323-378 (2012). Reviewer: Timothy Porter (Bangor) MSC: 18D05 55Q05 20L05 18G55 55U40 PDFBibTeX XMLCite \textit{A. M. Cegarra} et al., Appl. Categ. Struct. 20, No. 4, 323--378 (2012; Zbl 1263.18003) Full Text: DOI arXiv
Calvo, María; Cegarra, Antonio M.; Quang, Nguyen T. Higher cohomologies of modules. (English) Zbl 1254.18006 Algebr. Geom. Topol. 12, No. 1, 343-413 (2012). Reviewer: Jiří Rosický (Brno) MSC: 18D10 55N25 55P91 18G55 PDFBibTeX XMLCite \textit{M. Calvo} et al., Algebr. Geom. Topol. 12, No. 1, 343--413 (2012; Zbl 1254.18006) Full Text: DOI
Carrasco, Pilar; Cegarra, Antonio M.; Garzón, Antonio R. On the classifying space for braided monoidal categories. (Spanish. English summary) Zbl 1264.18006 Romero Sarabia, Alfonso (ed.) et al., Florentino García Santos: In memoriam. Granada: Editorial Universidad de Granada (ISBN 978-84-338-5347-9/pbk). Homenajes, 51-58 (2011). Reviewer: Marek Golasiński (Olsztyn) MSC: 18D10 18D05 55P15 55P48 PDFBibTeX XMLCite \textit{P. Carrasco} et al., in: Florentino García Santos: In memoriam. Granada: Editorial Universidad de Granada. 51--58 (2011; Zbl 1264.18006)
Cegarra, A. M. Homotopy fiber sequences induced by 2-functors. (English) Zbl 1213.18004 J. Pure Appl. Algebra 215, No. 4, 310-334 (2011). Reviewer: Richard John Steiner (Glasgow) MSC: 18D05 55P15 18G55 PDFBibTeX XMLCite \textit{A. M. Cegarra}, J. Pure Appl. Algebra 215, No. 4, 310--334 (2011; Zbl 1213.18004) Full Text: DOI arXiv
Carrasco, P.; Cegarra, A. M.; Garzón, A. R. Classifying spaces for braided monoidal categories and lax diagrams of bicategories. (English) Zbl 1227.18004 Adv. Math. 226, No. 1, 419-483 (2011). Reviewer: Ross H. Street (North Ryde) MSC: 18D05 18D10 55P15 55P48 PDFBibTeX XMLCite \textit{P. Carrasco} et al., Adv. Math. 226, No. 1, 419--483 (2011; Zbl 1227.18004) Full Text: DOI arXiv
Carrasco, Pilar; Cegarra, Antonio M.; Garzón, Antonio R. The classifying space of a categorical crossed module. (English) Zbl 1280.18004 Math. Nachr. 283, No. 4, 544-567 (2010). MSC: 18D10 55U40 18G55 PDFBibTeX XMLCite \textit{P. Carrasco} et al., Math. Nachr. 283, No. 4, 544--567 (2010; Zbl 1280.18004) Full Text: DOI
Carrasco, Pilar; Cegarra, Antonio M.; Garzón, Antonio R. Nerves and classifying spaces for bicategories. (English) Zbl 1183.18005 Algebr. Geom. Topol. 10, No. 1, 219-274 (2010). MSC: 18D05 55U40 18G50 PDFBibTeX XMLCite \textit{P. Carrasco} et al., Algebr. Geom. Topol. 10, No. 1, 219--274 (2010; Zbl 1183.18005) Full Text: DOI arXiv
Cegarra, A. M.; Remedios, J. Diagonal fibrations are pointwise fibrations. (English) Zbl 1196.55024 J. Homotopy Relat. Struct. 2, No. 2, 81-92 (2007). Reviewer: Wenhuai Shen (Guangzhou) MSC: 55U10 55P05 55U35 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{J. Remedios}, J. Homotopy Relat. Struct. 2, No. 2, 81--92 (2007; Zbl 1196.55024) Full Text: arXiv EuDML EMIS
Cegarra, Antonio M.; Remedios, Josué The behaviour of the \(\overline{W}\)-construction on the homotopy theory of bisimplicial sets. (English) Zbl 1145.55018 Manuscr. Math. 124, No. 4, 427-457 (2007). Reviewer: Goutam Mukherjee (Kolkata) MSC: 55U10 55U35 18G55 18G30 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{J. Remedios}, Manuscr. Math. 124, No. 4, 427--457 (2007; Zbl 1145.55018) Full Text: DOI
Cegarra, A. M.; Khmaladze, E. Homotopy classification of graded Picard categories. (English) Zbl 1130.19001 Adv. Math. 213, No. 2, 644-686 (2007). Reviewer: Richard John Steiner (Glasgow) MSC: 19D23 55P91 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{E. Khmaladze}, Adv. Math. 213, No. 2, 644--686 (2007; Zbl 1130.19001) Full Text: DOI
Carrasco, P.; Cegarra, A. M.; Garzón, A. R. The homotopy categorical crossed module of a CW-complex. (English) Zbl 1223.18004 Topology Appl. 154, No. 4, 834-847 (2007). Reviewer: Bernard Badzioch (Buffalo) MSC: 18D10 18G55 55P15 PDFBibTeX XMLCite \textit{P. Carrasco} et al., Topology Appl. 154, No. 4, 834--847 (2007; Zbl 1223.18004) Full Text: DOI
Cegarra, A. M.; Khmaladze, E. Homotopy classification of braided graded categorical groups. (English) Zbl 1139.55002 J. Pure Appl. Algebra 209, No. 2, 411-437 (2007). Reviewer: Wenhuai Shen (Guangzhou) MSC: 55N25 55P91 55P15 18G55 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{E. Khmaladze}, J. Pure Appl. Algebra 209, No. 2, 411--437 (2007; Zbl 1139.55002) Full Text: DOI
Cegarra, A. M.; Remedios, Josué The relationship between the diagonal and the bar constructions on a bisimplicial set. (English) Zbl 1077.55011 Topology Appl. 153, No. 1, 21-51 (2005). Reviewer: Richard John Steiner (Glasgow) MSC: 55U10 18A30 18D05 18G30 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{J. Remedios}, Topology Appl. 153, No. 1, 21--51 (2005; Zbl 1077.55011) Full Text: DOI
Bullejos, M.; Cegarra, A. M. Classifying spaces for monoidal categories through geometric nerves. (English) Zbl 1063.18003 Can. Math. Bull. 47, No. 3, 321-331 (2004). Reviewer: Antonio R. Garzón (Granada) MSC: 18D10 18G30 55P15 55P35 55U40 PDFBibTeX XMLCite \textit{M. Bullejos} and \textit{A. M. Cegarra}, Can. Math. Bull. 47, No. 3, 321--331 (2004; Zbl 1063.18003) Full Text: DOI
Bullejos, M.; Cegarra, A. M. On the geometry of 2-categories and their classifying spaces. (English) Zbl 1037.18003 \(K\)-Theory 29, No. 3, 211-229 (2003). Reviewer: Antonio R. Garzón (Granada) MSC: 18D05 18D10 55U40 55P15 55U10 18G30 PDFBibTeX XMLCite \textit{M. Bullejos} and \textit{A. M. Cegarra}, \(K\)-Theory 29, No. 3, 211--229 (2003; Zbl 1037.18003) Full Text: DOI
Cegarra, Antonio M.; Garzón, Antonio R. Homotopy classification of categorial torsors. (English) Zbl 1007.18015 Appl. Categ. Struct. 9, No. 5, 465-496 (2001). Reviewer: Marek Golasiński (Torun) MSC: 18G55 55P57 55P20 18D50 18D30 18G50 55U10 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{A. R. Garzón}, Appl. Categ. Struct. 9, No. 5, 465--496 (2001; Zbl 1007.18015) Full Text: DOI
Cegarra, A. M. Homotopy representability of Brauer groups. (English) Zbl 0969.18006 Extr. Math. 14, No. 3, 283-293 (1999). Reviewer: Marek Golasiński (Toruń) MSC: 18D10 16K50 55P15 55U10 13B05 PDFBibTeX XMLCite \textit{A. M. Cegarra}, Extr. Math. 14, No. 3, 283--293 (1999; Zbl 0969.18006) Full Text: EuDML
Cegarra, A. M.; Fernández, L. Cohomology of cofibred categorical groups. (English) Zbl 0944.18011 J. Pure Appl. Algebra 143, No. 1-3, 107-154 (1999). Reviewer: K.H.Kamps (Hagen) MSC: 18G50 20J06 18D05 18D10 16H05 16K50 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{L. Fernández}, J. Pure Appl. Algebra 143, No. 1--3, 107--154 (1999; Zbl 0944.18011) Full Text: DOI
Carrasco, P.; Cegarra, A. M. Schreier theory for central extensions of categorical groups. (English) Zbl 0887.18005 Commun. Algebra 24, No. 13, 4059-4112 (1996). Reviewer: M.Golasiński (Toruń) MSC: 18G60 55P15 20E22 PDFBibTeX XMLCite \textit{P. Carrasco} and \textit{A. M. Cegarra}, Commun. Algebra 24, No. 13, 4059--4112 (1996; Zbl 0887.18005) Full Text: DOI
Carrasco, P.; Cegarra, A. M. (Braided) tensor structures on homotopy groupoids and nerves of (braided) categorical groups. (English) Zbl 0887.18004 Commun. Algebra 24, No. 13, 3995-4058 (1996). Reviewer: M.Golasiński (Toruń) MSC: 18G60 55P15 18B40 PDFBibTeX XMLCite \textit{P. Carrasco} and \textit{A. M. Cegarra}, Commun. Algebra 24, No. 13, 3995--4058 (1996; Zbl 0887.18004) Full Text: DOI
Carrasco, Pilar; Cegarra, Antonio M. Central extensions of \(Gr\)-categories by braided \(Gr\)-categories. (Extensions centrales de \(Gr\)-catégories par des \(Gr\)-catégories tressées.) (French) Zbl 0856.18006 C. R. Acad. Sci., Paris, Sér. I 321, No. 5, 527-530 (1995). MSC: 18D10 18G99 PDFBibTeX XMLCite \textit{P. Carrasco} and \textit{A. M. Cegarra}, C. R. Acad. Sci., Paris, Sér. I 321, No. 5, 527--530 (1995; Zbl 0856.18006)
Carrasco, Pilar; Cegarra, Antonio M. Applications of the notion of nerve of a (braided) \(Gr\)-category. (Applications de la notion du nerf d’une \(Gr\)-catégorie (tressée).) (French) Zbl 0856.18005 C. R. Acad. Sci., Paris, Sér. I 321, No. 4, 395-398 (1995). Reviewer: L.N.Childs (Albany) MSC: 18D10 18G99 PDFBibTeX XMLCite \textit{P. Carrasco} and \textit{A. M. Cegarra}, C. R. Acad. Sci., Paris, Sér. I 321, No. 4, 395--398 (1995; Zbl 0856.18005)
Bullejos, M.; Carrasco, P.; Cegarra, A. M. Cohomology with coefficients in symmetric cat-groups. An extension of Eilenberg-MacLane’s classification theorem. (English) Zbl 0787.55007 Math. Proc. Camb. Philos. Soc. 114, No. 1, 163-189 (1993). Reviewer: A.Cavicchioli (Modena) MSC: 55N99 18G50 PDFBibTeX XMLCite \textit{M. Bullejos} et al., Math. Proc. Camb. Philos. Soc. 114, No. 1, 163--189 (1993; Zbl 0787.55007) Full Text: DOI
Bullejos, M.; Cegarra, A. M.; Duskin, J. On cat\(^ n\)-groups and homotopy types. (English) Zbl 0772.18009 J. Pure Appl. Algebra 86, No. 2, 135-154 (1993). Reviewer: A.Cavicchioli (Modena) MSC: 18G30 55U35 PDFBibTeX XMLCite \textit{M. Bullejos} et al., J. Pure Appl. Algebra 86, No. 2, 135--154 (1993; Zbl 0772.18009) Full Text: DOI
Bullejos, M.; Carrasco, P.; Cabello, J. G.; Cegarra, A. M.; Garzon, A. R.; Miranda, J. G. Homotopical methods in the theory of algebraic obstruction. (Spanish) Zbl 0809.55010 Hommage to Pablo Bobillo Guerrero. Granada: Universidad de Granada, Departamento de Análisis Matemático, 163-181 (1992). Reviewer: M.Bullejos (Granada) MSC: 55U35 55S35 20J05 17B55 PDFBibTeX XMLCite \textit{M. Bullejos} et al., in: Homenaje a Pablo Bobillo Guerrero. Granada: Universidad de Granada, Departamento de Análisis Matemático. 163--181 (1992; Zbl 0809.55010)
Bullejos, Manuel; Cegarra, Antonio M. A 3-dimensional non-abelian cohomology of groups with applications to homotopy classification of continuous maps. (English) Zbl 0726.18009 Can. J. Math. 43, No. 2, 265-296 (1991). Reviewer: R.Brown (Bangor) MSC: 18G50 55Q05 18G55 55U15 PDFBibTeX XMLCite \textit{M. Bullejos} and \textit{A. M. Cegarra}, Can. J. Math. 43, No. 2, 265--296 (1991; Zbl 0726.18009) Full Text: DOI
Carrasco, P.; Cegarra, A. M. Group-theoretic algebraic models for homotopy types. (English) Zbl 0742.55003 J. Pure Appl. Algebra 75, No. 3, 195-235 (1991). Reviewer: Timothy Porter (Bangor) MSC: 55P15 55U10 PDFBibTeX XMLCite \textit{P. Carrasco} and \textit{A. M. Cegarra}, J. Pure Appl. Algebra 75, No. 3, 195--235 (1991; Zbl 0742.55003) Full Text: DOI
Cegarra, A. M.; Bullejos, M. Cohomology and higher dimensional Baer invariants. (English) Zbl 0747.18015 J. Algebra 132, No. 2, 321-339 (1990). Reviewer: L.R.Vermani (Kurukshetra) MSC: 18G10 18G25 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{M. Bullejos}, J. Algebra 132, No. 2, 321--339 (1990; Zbl 0747.18015) Full Text: DOI