42 citations · 77 across the 12 of their papers we have counts for
13 papers
Higher cohomologies of commutative monoids
Maria Calvo-Cervera, Antonio M. Cegarra
Extending Eilenberg-Mac Lane's methods, higher level cohomologies for commutative monoids are introduced and studied. Relationships with pre-existing theories (Leech, Grillet, ...)…
Computability of the (co)homology of cyclic monoids
María Calvo-Cervera, Antonio M. Cegarra
Leech's (co)homology groups of finite cyclic monoids are computed.
Homotopy colimits of 2-functors
A. M. Cegarra, B. A. Heredia
Like categories, small 2-categories have well-understood classifying spaces. In this paper, we deal with homotopy types represented by 2-diagrams of 2-categories. Our results exten…
On the third cohomology group of commutative monoids
María Calvo-Cervera, Antonio M. Cegarra, Benjamín A. Heredia
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 resu…
Bicategorical homotopy pullbacks
A. M. Cegarra, B. A. Heredia, J. Remedios
The homotopy theory of higher categorical structures has become a relevant part of the machinery of algebraic topology and algebraic K-theory, and this paper contains contributions…
Bicategorical homotopy fiber sequences
M. Calvo, A. M. Cegarra, B. A. Heredia
Small Bénabou's bicategories and, in particular, Mac Lane's monoidal categories, have well-understood classifying spaces, which give geometric meaning to their cells. This paper co…