30 citations · 59 across the 5 of their papers we have counts for
5 papers
A derivability criterion based on the existence of adjunctions
Beatriz Rodriguez Gonzalez
In this paper we introduce a derivability criterion of functors based on the existence of adjunctions rather than on the existence of resolutions. It constitutes a converse of Quil…
Realizable homotopy colimits
Beatriz Rodriguez Gonzalez
In this paper we prove that for any model category, the Bousfield-Kan construction of the homotopy colimit is the absolute left derived functor of the colimit. This is achieved by…
(Co)Simplicial Descent Categories
Beatriz Rodriguez Gonzalez
In this paper we study the question of how to transfer homotopic structure from the category sD of simplicial objects in a fixed category D to D. To this end we use a sort of homot…
Triangulated structures induced by simplicial descent categories
Beatriz Rodriguez Gonzalez
The present paper is devoted to study the homotopy category associated with a simplicial descent category (D,s,E) (arXiv:0808.3684v2). We prove that the class E of equivalences has…
Simplicial Descent Categories
Beatriz Rodriguez Gonzalez
Much of the homotopical and homological structure of the categories of chain complexes and topological spaces can be deduced from the existence and properties of the 'simple' funct…