A model for the homotopy theory of homotopy theory
Author:
Charles Rezk
Journal:
Trans. Amer. Math. Soc. 353 (2001), 9731007
MSC (2000):
Primary 55U35; Secondary 18G30
Published electronically:
June 20, 2000
MathSciNet review:
1804411
Fulltext PDF Free Access
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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.
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Additional Information
Charles Rezk
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email:
rezk@math.nwu.edu
DOI:
http://dx.doi.org/10.1090/S0002994700026532
PII:
S 00029947(00)026532
Keywords:
Homotopy theory,
simplicial spaces,
localization,
closed model categories
Received by editor(s):
November 4, 1998
Published electronically:
June 20, 2000
Article copyright:
© Copyright 2000
American Mathematical Society
