A model for the homotopy theory of homotopy 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 wellbehaved internal homobject.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 1998
 DOI:
 10.48550/arXiv.math/9811037
 arXiv:
 arXiv:math/9811037
 Bibcode:
 1998math.....11037R
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Category Theory;
 55U35 (Primary);
 18G30 (Secondary)
 EPrint:
 revisions for publication, to appear in AMS Trans