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 | |
| Publication status | Published - Dec 1 2016 |
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All Science Journal Classification (ASJC) codes
- Geometry and Topology
Cite this
Counting the number of homotopy associative multiplications on certain H-spaces. / Kaji, Shizuo; Sakai, Michihiro; Theriault, Stephen.
In: Topology and its Applications, Vol. 214, 01.12.2016, p. 137-149.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Counting the number of homotopy associative multiplications on certain H-spaces
AU - Kaji, Shizuo
AU - Sakai, Michihiro
AU - Theriault, Stephen
PY - 2016/12/1
Y1 - 2016/12/1
N2 - 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.
AB - 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.
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U2 - 10.1016/j.topol.2016.10.008
DO - 10.1016/j.topol.2016.10.008
M3 - Article
VL - 214
SP - 137
EP - 149
JO - Topology and its Applications
JF - Topology and its Applications
SN - 0166-8641
ER -