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arXiv · 1606.01537

Bousfield Localization and Eilenberg-Moore Categories

Michael Batanin·David White
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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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Michael Batanin, David White. 2016-06-05. Bousfield Localization and Eilenberg-Moore Categories. https://arxiv.org/abs/1606.01537

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