A combinatorial model for the known Bousfield classes

Strickland, Neil

doi:10.2140/agt.2019.19.2677

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A combinatorial model for the known Bousfield classes

Neil Patrick Strickland

Algebraic & Geometric Topology 19 (2019) 2677–2713

DOI: 10.2140/agt.2019.19.2677

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

Volume 19, issue 6 (2019)