Bousfield Localization and Eilenberg-Moore Categories
Algebraic Topology
2021-09-01 v2 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.
Cite
@article{arxiv.1606.01537,
title = {Bousfield Localization and Eilenberg-Moore Categories},
author = {Michael Batanin and David White},
journal= {arXiv preprint arXiv:1606.01537},
year = {2021}
}
Comments
Corrected Theorem 5.12, added new examples