nLab Antonio Cegarra

Antonio Martínez Cegarra is a Spanish mathematician, who is in the Departamento de Álgebra of the Universidad de Granada, Spain. He has published extensively in homotopical and homological algebra, and non-abelian cohomology. A (partial) list of his publications is here.

Related entries

• hypercrossed complex

• Moore complex

Selected writings

On n-groups and homotopy types:

• M. Bullejos, A. M. Cegarra and J. Duskin, On cat$^n$ -groups and homotopy types , J. Pure Appl. Alg., 86, (1993), 135 – 154.

• Pilar Carrasco and A. M. Cegarra, Group-theoretic Algebraic Models for Homotopy Types, J. Pure Appl. Alg., 75, (1991), 195 – 235.

On non-abelian cohomology with coefficients in braided 2-groups and symmetric 2-groups:

• Manuel Bullejos, Pilar Carrasco, Antonio M. Cegarra, Cohomology with coefficients in symmetric cat-groups. An extension of Eilenberg–MacLane’s classification theorem, Mathematical Proceedings of the Cambridge Philosophical Society , Volume 114 , Issue 1 , July 1993 , pp. 163 - 189 (doi:10.1017/S0305004100071498)

On “classifying spaces” (ie: topological realization of simplicial nerves) of 2-categories:

• Manuel Bullejos, Antonio M. Cegarra, On the geometry of 2-categories and their classifying spaces, K-Theory 29 3 (2003) 211-229 [doi:10.1023/B:KTHE.0000006921.50151.00, pdf]

On the diagonal of bisimplicial sets:

• Antonio Cegarra, Josué Remedios, The relationship between the diagonal and the bar constructions on a bisimplicial set, Topology and its applications, volume 153 (1) (2005) (pdf, doi:10.1016/j.topol.2004.12.003)

On double groupoids and homotopy 2-types:

• Antonio Martínez Cegarra, Benjamın A. Heredia, Josué Remedios, Double groupoids and homotopy 2-types, Appl. Categ. Struct. 20, No. 4, 323-378 (2012), see also arXiv:1003.3820.

category: people