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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A model category structure on the category of simplicial categories
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by Julia E. Bergner PDF
Trans. Amer. Math. Soc. 359 (2007), 2043-2058 Request permission

Abstract:

In this paper we put a cofibrantly generated model category structure on the category of small simplicial categories. The weak equivalences are a simplicial analogue of the notion of equivalence of categories.
References
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Additional Information
  • Julia E. Bergner
  • Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
  • Address at time of publication: Department of Mathematics, Kansas State University, 138 Cardwell Hall, Manhattan, Kansas 66506
  • MR Author ID: 794441
  • Email: bergnerj@member.ams.org
  • Received by editor(s): January 28, 2005
  • Published electronically: December 19, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 2043-2058
  • MSC (2000): Primary 18G55, 18D20
  • DOI: https://doi.org/10.1090/S0002-9947-06-03987-0
  • MathSciNet review: 2276611