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Replacing model categories with simplicial ones

Author(s): Daniel Dugger
Journal: Trans. Amer. Math. Soc. 353 (2001), 5003-5027.
MSC (2000): Primary 55U35
Posted: April 11, 2001
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Abstract | References | Similar articles | Additional information

Abstract:

In this paper we show that model categories of a very broad class can be replaced up to Quillen equivalence by simplicial model categories.

References:

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(Available at http://www-math.mit.edu/$\sim$psh).

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M. Hovey, Model Categories, Mathematical Surveys and Monographs vol. 63, Amer. Math. Soc., 1999. MR 99h:55031
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D. Quillen, Homotopical Algebra, Springer Lecture Notes in Math. 43, Springer-Verlag, Berlin, 1967. MR 36:6480

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Additional Information:

Daniel Dugger
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email: ddugger@math.purdue.edu

DOI: 10.1090/S0002-9947-01-02661-7
PII: S 0002-9947(01)02661-7
Received by editor(s): December 8, 1998
Received by editor(s) in revised form: December 1, 1999
Posted: April 11, 2001
Copyright of article: Copyright 2001, American Mathematical Society

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