Brooke-Taylor, AD orcid.org/0000-0003-3734-0933, Löwe, B and Richter, B (2018) Inhabitants of interesting subsets of the Bousfield lattice. Journal of Pure and Applied Algebra, 222 (8). pp. 2292-2298. ISSN 0022-4049
Abstract
In 1979, Bousfield defined an equivalence relation on the stable homotopy category. The set of Bousfield classes has some important subsets such as the distributive lattice DL of all classes 〈E〉which are smash idempotent and the complete Boolean algebra cBA of closed classes. We provide examples of spectra that are in DL, but not in cBA; in particular, for every prime p, the Bousfield class of the Eilenberg–MacLane spectrum 〈HFp〉 is in DL∖cBA.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 Elsevier B.V. This is an author produced version of a paper published in Journal of Pure and Applied Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/K035703/2 |
Depositing User: | Symplectic Publications |
Date Deposited: | 13 Sep 2017 09:19 |
Last Modified: | 14 Sep 2018 00:38 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jpaa.2017.09.012 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:121122 |