BP: close encounters of the E∞ kind

Baker, A. (2013) BP: close encounters of the E∞ kind. Journal of Homotopy and Related Structures, 9(2), pp. 257-282. (doi: 10.1007/s40062-013-0051-6)

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Publisher's URL: http://dx.doi.org/10.1007/s40062-013-0051-6


Inspired by Stewart Priddy’s cellular model for the <i>p</i>-local Brown–Peterson spectrum <i>BP</i>, we give a construction of a <i>p</i>-local <i>E</i>∞ ring spectrum <i>R</i> which is a close approximation to <i>BP</i>. Indeed we can show that if <i>BP</i> admits an <i>E</i>∞ structure then these are weakly equivalent as <i>E</i>∞ ring spectra. Our inductive cellular construction makes use of power operations on homotopy groups to define homotopy classes which are then killed by attaching <i>E</i>∞ cells.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Baker, Dr Andrew
Authors: Baker, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Research Group:Geometry & Topology
Journal Name:Journal of Homotopy and Related Structures
ISSN (Online):1512-2891
Published Online:24 September 2013
Copyright Holders:Copyright © 2013 Springer
First Published:First published in Journal of Homotopy and Related Structures September 2013 (online)
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher.
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