Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904921 | Advances in Mathematics | 2018 | 55 Pages |
Abstract
The aim of this paper is to prove a generalization of the famous Theorem A of Quillen for strict â-categories. This result is central to the homotopy theory of strict â-categories developed by the authors. The proof presented here is of a simplicial nature and uses Steiner's theory of augmented directed complexes. In a subsequent paper, we will prove the same result by purely â-categorical methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Dimitri Ara, Georges Maltsiniotis,