A combinatorial model for the known Bousfield classes

Strickland, Neil

doi:10.2140/agt.2019.19.2677

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

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)