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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Enriched Reedy categories
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by Vigleik Angeltveit PDF
Proc. Amer. Math. Soc. 136 (2008), 2323-2332 Request permission

Abstract:

We define the notion of an enriched Reedy category and show that if $\mathcal {A}$ is a $\mathcal {C}$-Reedy category for some symmetric monoidal model category $\mathcal {C}$ and $\mathcal {M}$ is a $\mathcal {C}$-model category, the category of $\mathcal {C}$-functors and $\mathcal {C}$-natural transformations from $\mathcal {A}$ to $\mathcal {M}$ is again a model category.
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Additional Information
  • Vigleik Angeltveit
  • Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637
  • MR Author ID: 769881
  • Email: vigleik@math.uchicago.edu
  • Received by editor(s): March 15, 2007
  • Received by editor(s) in revised form: April 9, 2007
  • Published electronically: February 28, 2008
  • Additional Notes: This research was partially conducted during the period the author was employed by the Clay Mathematics Institute as a Liftoff Fellow
  • Communicated by: Paul Goerss
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2323-2332
  • MSC (2000): Primary 18G55
  • DOI: https://doi.org/10.1090/S0002-9939-08-09185-5
  • MathSciNet review: 2390498