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2-primary factorizations of power maps through the double suspension

2-primary factorizations of power maps through the double suspension Abstract. Several improvements are made to the 2-primary homotopy theory of the double suspension. We refine Richter's factorization of the second-power map on through the loops on the double suspension, show that the 4 th -power map on factors through the double suspension, and that the 4 th -power map on is null homotopic, where is the fiber of the double suspension. The latter two results are improvements by one loop. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

2-primary factorizations of power maps through the double suspension

Forum Mathematicum , Volume 25 (2) – Mar 1, 2013

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References (13)

Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/form.2011.122
Publisher site
See Article on Publisher Site

Abstract

Abstract. Several improvements are made to the 2-primary homotopy theory of the double suspension. We refine Richter's factorization of the second-power map on through the loops on the double suspension, show that the 4 th -power map on factors through the double suspension, and that the 4 th -power map on is null homotopic, where is the fiber of the double suspension. The latter two results are improvements by one loop.

Journal

Forum Mathematicumde Gruyter

Published: Mar 1, 2013

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