English

An introduction to Bousfield localization

Algebraic Topology 2020-02-11 v1

Abstract

In this article we discuss Bousfield localization, beginning with definitions in terms of mapping spaces and working up to a discussion of how they can be constructed when we have access to the small object argument. We also discuss Bousfield localization in the presence of multiplicative structure. Our goal is to place an emphasis on examples of various types. This is an expository article, written to be part of an upcoming book.

Keywords

Cite

@article{arxiv.2002.03888,
  title  = {An introduction to Bousfield localization},
  author = {Tyler Lawson},
  journal= {arXiv preprint arXiv:2002.03888},
  year   = {2020}
}

Comments

47 pages. Comments welcome

R2 v1 2026-06-23T13:37:02.706Z