A model for the homotopy theory of homotopy theory
Algebraic Topology
2008-12-05 v3 Category Theory
Abstract
We describe a category, the objects of which may be viewed as models for homotopy theories. We show that for such models, ``functors between two homotopy theories form a homotopy theory'', or more precisely that the category of such models has a well-behaved internal hom-object.
Keywords
Cite
@article{arxiv.math/9811037,
title = {A model for the homotopy theory of homotopy theory},
author = {Charles Rezk},
journal= {arXiv preprint arXiv:math/9811037},
year = {2008}
}
Comments
revisions for publication, to appear in AMS Trans