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Published April 12, 2021 | Submitted + Published
Journal Article Open

Model ∞-categories II: Quillen adjunctions

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.

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.

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Submitted - 1510.04392.pdf

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Additional details

Created:
August 20, 2023
Modified:
October 23, 2023