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)
|
Text
63133.pdf - Submitted Version 325kB |
Publisher's URL: http://dx.doi.org/10.1007/s40062-013-0051-6
Abstract
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 |
---|---|
Status: | Published |
Refereed: | Yes |
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 |
Publisher: | Springer |
ISSN: | 2193-8407 |
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. |
Related URLs: |
University Staff: Request a correction | Enlighten Editors: Update this record