27 citations · 44 across the 8 of their papers we have counts for
8 papers
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…
A Quillen's Theorem A for strict -categories I: the simplicial proof
Dimitri Ara, Georges Maltsiniotis
The aim of this paper is to prove a generalization of the famous Theorem A of Quillen for strict -categories. This result is central to the homotopy theory of strict $\inft…
Join and slices for strict -categories
Dimitri Ara, Georges Maltsiniotis
The goal of this paper is to develop a theory of join and slices for strict -categories. To any pair of strict -categories, we associate a third one that we call th…
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…
Grothendieck -groupoids, and still another definition of -categories
Georges Maltsiniotis
The aim of this paper is to present a simplified version of the notion of -groupoid developed by Grothendieck in "Pursuing Stacks" and to introduce a definition of …