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A model for the homotopy theory of homotopy theory
Author(s):
Charles
Rezk
Journal:
Trans. Amer. Math. Soc.
353
(2001),
973-1007.
MSC (2000):
Primary 55U35;
Secondary 18G30
Posted:
June 20, 2000
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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 well-behaved internal hom-object.
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Additional Information:
Charles
Rezk
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email:
rezk@math.nwu.edu
DOI:
10.1090/S0002-9947-00-02653-2
PII:
S 0002-9947(00)02653-2
Keywords:
Homotopy theory,
simplicial spaces,
localization,
closed model categories
Received by editor(s):
November 4, 1998
Posted:
June 20, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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