3 citations · 5 across the 3 of their papers we have counts for
4 papers · 1 filter
A Quillen's Theorem A for strict -categories II: the -categorical proof
Dimitri Ara, Georges Maltsiniotis
This paper is the second in a series of two papers about generalizing Quillen's Theorem A to strict -categories. In the first one, we presented a proof of this Theorem A of…
The homotopy type of the -category associated to a simplicial complex
Dimitri Ara, Georges Maltsiniotis
This paper is part of a series of papers about homotopy theory of strict -categories. In the first paper of this series, we gave conditions that guarantee the existence of a Tho…
Homotopical exact squares and derivators
Georges Maltsiniotis
The aim of this paper is to generalize in a homotopical framework the notion of exact square introduced by René Guitart, and explain the relationship between this generalization an…
Quillen's adjunction theorem for derived functors, revisited
Georges Maltsiniotis
The aim of this paper is to present a very simple original, purely formal, proof of Quillen's adjunction theorem for derived functors, and of some more recent variations and genera…