n-Relative Categories
Algebraic Topology
2011-02-02 v1 Category Theory
Abstract
We introduce, for every positive integer n, the notion of an n-relative category and show that the category of the small n-relative categories is a model for the homotopy theory of n-fold homotopy theories, i.e. homotopy theories of ... of homotopy theories.
Cite
@article{arxiv.1102.0186,
title = {n-Relative Categories},
author = {C. Barwick and D. M. Kan},
journal= {arXiv preprint arXiv:1102.0186},
year = {2011}
}