Counting the number of homotopy associative multiplications on certain H-spaces

Shizuo Kaji; Michihiro Sakai; Stephen Theriault

doi:10.1016/j.topol.2016.10.008

Counting the number of homotopy associative multiplications on certain H-spaces

Shizuo Kaji, Michihiro Sakai, Stephen Theriault

Research output: Contribution to journal › Article

Abstract

We determine an upper bound for the number of homotopy associative multiplications on certain H-spaces. This is applied to SU(3) and Sp(2) at odd primes, and to give examples of p-local H-spaces with more than one multiplication but a unique homotopy associative multiplication.

Original language	English
Pages (from-to)	137-149
Number of pages	13
Journal	Topology and its Applications
Volume	214
DOIs	https://doi.org/10.1016/j.topol.2016.10.008
Publication status	Published - Dec 1 2016
Externally published	Yes

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All Science Journal Classification (ASJC) codes

Geometry and Topology

Cite this

Kaji, S., Sakai, M., & Theriault, S. (2016). Counting the number of homotopy associative multiplications on certain H-spaces. Topology and its Applications, 214, 137-149. https://doi.org/10.1016/j.topol.2016.10.008

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Access to Document

10.1016/j.topol.2016.10.008