Enriched Reedy categories
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- by Vigleik Angeltveit
- Proc. Amer. Math. Soc. 136 (2008), 2323-2332
- DOI: https://doi.org/10.1090/S0002-9939-08-09185-5
- Published electronically: February 28, 2008
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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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Bibliographic 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