Monoidal Bousfield Localizations and Algebras over Operads: A User's Guide
David White
TL;DR
This paper provides a comprehensive guide to monoidal Bousfield localizations and their impact on algebras over operads, serving as an accessible resource for researchers in homotopy theory and algebraic topology.
Contribution
It offers an in-depth, user-friendly explanation of complex concepts related to monoidal Bousfield localizations and operad algebras, complementing the author's previous research.
Findings
Clarifies the relationship between Bousfield localizations and operad algebras
Provides practical methods for applying localizations in monoidal model categories
Serves as an educational resource for mathematicians in the field
Abstract
This paper is a companion for the paper "Monoidal Bousfield Localizations and Algebras over Operads," part of the author's PhD thesis. This paper was written in 2015 for the first edition of "Enchiridion: Mathematics User's Guides." More User's Guides can be found at https://mathusersguides.com/
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models