Zobrazeno 1 - 10
of 35
pro vyhledávání: '"CEGARRA, Antonio M."'
Extending Eilenberg-Mac Lane's methods, higher level cohomologies for commutative monoids are introduced and studied. Relationships with pre-existing theories (Leech, Grillet, ...) are stated. The paper includes a cohomological classification for sym
Externí odkaz:
http://arxiv.org/abs/1602.07494
Leech's (co)homology groups of finite cyclic monoids are computed.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/1602.01272
We interpret Grillet's symmetric thrid cohomology classes of commutative monoids in terms of strictly symmetric monoidal abelian groupoids. We state and prove a classification result that generalizes the well-known one for strictly commutative Picard
Externí odkaz:
http://arxiv.org/abs/1406.6835
The structure of monoidal categories in which every arrow is invertible is analyzed in this paper, where we develop a 3-dimensional Schreier-Grothendieck theory of non-abelian factor sets for their classification. In particular, we state and prove pr
Externí odkaz:
http://arxiv.org/abs/1209.2847
Publikováno v:
Algebr. Geom. Topol. 14 (2014) 1997-2064
Any tricategory characteristically has associated various simplicial or pseudo-simplicial objects. This paper explores the relationship amongst three of them: the pseudo-simplicial bicategory so-called Grothendieck nerve of the tricategory, the simpl
Externí odkaz:
http://arxiv.org/abs/1203.3664
This work contributes to clarifying several relationships between certain higher categorical structures and the homotopy types of their classifying spaces. Double categories (Ehresmann, 1963) have well-understood geometric realizations, and here we d
Externí odkaz:
http://arxiv.org/abs/1003.3820
Autor:
Cegarra, Antonio M.
This paper contains some contributions to the study of the relationship between 2-categories and the homotopy types of their classifying spaces. Mainly, generalizations are given of both Quillen's Theorem B and Thomason's Homotopy Colimit Theorem to
Externí odkaz:
http://arxiv.org/abs/0909.4229
Autor:
CARRASCO, Pilar1 mcarrasc@ugr.es, CEGARRA, Antonio M.1
Publikováno v:
Turkish Journal of Mathematics. 2021, Vol. 45 Issue 6, p2534-2593. 60p.
Autor:
CEGARRA, Antonio M.1 acegarra@ugr.es
Publikováno v:
Turkish Journal of Mathematics. 2020, Vol. 44 Issue 1, p50-84. 35p.