On mod $p$ $A_p$–spaces

Ruizhi Huang; Jie Wu

doi:10.2140/agt.2017.17.2125

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Home > Journals > Algebr. Geom. Topol. > Volume 17 > Issue 4 > Article

2017 On mod $p$ $A_p$–spaces

Ruizhi Huang, Jie Wu

Algebr. Geom. Topol. 17(4): 2125-2144 (2017). DOI: 10.2140/agt.2017.17.2125

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Abstract

We prove a necessary condition for the existence of an $A_{p}$ –structure on $mod p$ spaces, and also derive a simple proof for the finiteness of the number of $mod p$ $A_{p}$ –spaces of given rank. As a direct application, we compute a list of possible types of rank $3$ $mod p$ homotopy associative $H$ –spaces.