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  Left Bousfield localization and Eilenberg–Moore categories

Batanin, M., & White, D. (2021). Left Bousfield localization and Eilenberg–Moore categories. Homology, Homotopy and Applications, 23(2), 299-323. doi:10.4310/HHA.2021.v23.n2.a16.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-1101-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-CADA-A
Genre: Journal Article

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arXiv:1606.01537.pdf (Preprint), 268KB
 
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Copyright © 2021, Michael Batanin and David White. Permission to copy for private use granted.
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 Creators:
Batanin, Michael1, Author           
White, David, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology, Category Theory, K-Theory and Homology
 Abstract: We prove the equivalence of several hypotheses that have appeared recently in
the literature for studying left Bousfield localization and algebras over a
monad. We find conditions so that there is a model structure for local
algebras, so that localization preserves algebras, and so that localization
lifts to the level of algebras. We include examples coming from the theory of
colored operads, and applications to spaces, spectra, and chain complexes.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: 25
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1606.01537
DOI: 10.4310/HHA.2021.v23.n2.a16
 Degree: -

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Title: Homology, Homotopy and Applications
Source Genre: Journal
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Publ. Info: International Press
Pages: - Volume / Issue: 23 (2) Sequence Number: - Start / End Page: 299 - 323 Identifier: -