Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Enriched Reedy categories

Author(s): Vigleik Angeltveit
Journal: Proc. Amer. Math. Soc. 136 (2008), 2323-2332.
MSC (2000): Primary 18G55
Posted: February 28, 2008
MathSciNet review: 2390498
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Abstract | References | Similar articles | Additional information

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.

References:

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Additional Information:

Vigleik Angeltveit
Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637
Email: vigleik@math.uchicago.edu

DOI: 10.1090/S0002-9939-08-09185-5
PII: S 0002-9939(08)09185-5
Received by editor(s): March 15, 2007,
Received by editor(s) in revised form: April 9, 2007
Posted: 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 of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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