Document Type
Article
Publication Date
5-1-2013
Publication Title
Proceedings of The American Mathematical Society
Abstract
Let X be a (not-necessarily homotopy-associative) H-space. We show that TCn+1(X) = cat (Xn), forn≥1, where TCn+1(−) denotes the so-called higher topological complexity introduced by Rudyak, and cat (−) denotes the Lusternik-Schnirelmann category. We also generalize this equality to an inequality, which gives an upper bound for TCn+1(X), in the setting of a space Y acting on X.
Repository Citation
Lupton, Gregory and Scherer, Jerome, "Topological Complexity of H-Spaces" (2013). Mathematics and Statistics Faculty Publications. 242.
https://engagedscholarship.csuohio.edu/scimath_facpub/242
DOI
10.1090/S0002-9939-2012-11454-6
Version
Postprint
Publisher's Statement
First published in Proceedings of The American Mathematical Society in 2013, published by the American Mathematical Society.
Volume
141
Issue
5
Comments
The second author is partially supported by FEDER/MEC grant MTM2010-20692. Both authors acknowledge the support of the Swiss National Science Foundation (project IZK0Z2_133237).