most citedCategorical non abelian cohomology, and the Schreier theory of groupoids

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math.CT2004★ 1 cited

Categorical non abelian cohomology, and the Schreier theory of groupoids

V. Blanco, M. Bullejos, E. Faro

By regarding the classical non abelian cohomology of groups from a 2-dimensional categorical viewpoint, we are led to a non abelian cohomology of groupoids which continues to satis…

math.CT2004

Postnikov Invariants of Crossed Complexes

M. Bullejos, E. Faro, M. A. García-Muñoz

We determine the Postnikov Tower and Postnikov Invariants of a Crossed Complex in a purely algebraic way. Using the fact that Crossed Complexes are homotopy types for filtered spac…

math.CT2004

A Full and faithful Nerve for 2-categories

M. Bullejos, E. Faro, V. Blanco

The notion of geometric nerve of a 2-category (Street, \cite{refstreet}) provides a full and faithful functor if regarded as defined on the category of 2-categories and lax 2-funct…