A model for the homotopy theory of homotopy theory-Reference-Cited by-同舟云学术

A model for the homotopy theory of homotopy theory

Published:2000-06-20 Issue:3 Volume:353 Page:973-1007
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Rezk Charles

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2001-353-03/S0002-9947-00-02653-2/S0002-9947-00-02653-2.pdf

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