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Model ∞-categories II: Quillen adjunctions

Mazel-Gee, Aaron (2021) Model ∞-categories II: Quillen adjunctions. New York Journal of Mathematics, 27 . pp. 508-550. ISSN 1076-9803. https://resolver.caltech.edu/CaltechAUTHORS:20210513-102255968

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Abstract

We prove that various structures on model ∞-categories descend to corresponding structures on their localizations: (i) Quillen adjunctions; (ii) two-variable Quillen adjunctions; (iii) monoidal and symmetric monoidal model structures; and (iv) enriched model structures.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://nyjm.albany.edu/j/2021/27-21.htmlPublisherArticle
https://arxiv.org/abs/1510.04392arXivDiscussion Paper
Alternate Title: Model infinity-categories II: Quillen adjunctions
Additional Information:© 2021 The Author(s). Received December 19, 2017; Published: April 12, 2021. We would like to thank Geoffroy Horel, Zhen Lin Low, and Adeel Khan Yusufzai for their helpful comments; Dmitri Pavlov, for spotting and helping us correct a small mistake in a previous version; and the NSF graduate research fellowship program (grant DGE-1106400) for financial support during the time that this work was carried out.
Funders:
Funding AgencyGrant Number
NSF Graduate Research FellowshipDGE-1106400
Subject Keywords:∞-category, model structure, adjunction, Quillen adjunction, enriched, two-variable, monoidal, symmetric monoidal
Classification Code:2010 Mathematics Subject Classification: 55U35, 18A40, 18G55, 55P60, 55U40
Record Number:CaltechAUTHORS:20210513-102255968
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210513-102255968
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109112
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 May 2021 17:53
Last Modified:13 May 2021 17:53

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