arXiv Analytics

Sign in

arXiv:math/9811037 [math.AT]AbstractReferencesReviewsResources

A model for the homotopy theory of homotopy theory

Charles Rezk

Published 1998-11-06, updated 2000-03-10Version 3

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.

Comments: revisions for publication, to appear in AMS Trans
Journal: Trans. Amer. Math. Soc. 353 (2001), 973-1007
Categories: math.AT, math.CT
Subjects: 55U35, 18G30
Related articles: Most relevant | Search more
arXiv:math/0504334 [math.AT] (Published 2005-04-15, updated 2007-04-12)
Three models for the homotopy theory of homotopy theories
arXiv:1510.04969 [math.AT] (Published 2015-10-16)
Homotopy theory of symmetric powers
arXiv:1411.0303 [math.AT] (Published 2014-11-02)
Two Models for the Homotopy Theory of Cocomplete Homotopy Theories

Links

Toolbox