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A combinatorial model for the known Bousfield classes

Neil Patrick Strickland

Algebraic & Geometric Topology 19 (2019) 2677–2713
Abstract

We give a combinatorial construction of an ordered semiring A, and show that it can be identified with a certain subquotient of the semiring of p–local Bousfield classes, containing almost all of the classes that have previously been named and studied. This is a convenient way to encapsulate most of the known results about Bousfield classes.

Keywords
Bousfield class
Mathematical Subject Classification 2010
Primary: 55P42, 55P60
Secondary: 16Y60
References
Publication
Received: 20 September 2016
Revised: 8 July 2018
Accepted: 4 October 2018
Published: 20 October 2019
Authors
Neil Patrick Strickland
School of Mathematics and Statistics
The University of Sheffield
Sheffield
United Kingdom