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

Autor:	Michihiro Sakai, Shizuo Kaji, Stephen Theriault
Rok vydání:	2016
Předmět:	Discrete mathematics Homotopy 010102 general mathematics Eilenberg–MacLane space 01 natural sciences Upper and lower bounds 010101 applied mathematics H-space n-connected Multiplication Geometry and Topology 0101 mathematics Associative property Mathematics
Zdroj:	Topology and its Applications. 214:137-149
ISSN:	0166-8641
DOI:	10.1016/j.topol.2016.10.008
Popis:	We determine an upper bound for the number of homotopy associative multiplications on certain H -spaces. This is applied to SU(3)SU(3) and Sp(2)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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c345b981c3678e6ba00ce570718fdc4b https://doi.org/10.1016/j.topol.2016.10.008 Zobrazit plný text záznamu Full Text from ScienceDirect