Left Bousfield localization and Eilenberg–Moore categories

Batanin, Michael; White, David

doi:10.4310/HHA.2021.v23.n2.a16

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Left Bousfield localization and Eilenberg–Moore categories

MPS-Authors

/persons/resource/persons234925

Batanin, Michael
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://dx.doi.org/10.4310/HHA.2021.v23.n2.a16
(Publisher version)

https://doi.org/10.48550/arXiv.1606.01537
(Preprint)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

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.

Cite as: https://hdl.handle.net/21.11116/0000-0009-1101-2

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.