On ${\rm mod}~p$ $A_p$-spaces

Ruizhi Huang; Jie Wu

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arXiv · 1701.05803

On ${\rm mod}~p$ $A_p$-spaces

Ruizhi Huang·Jie Wu

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Abstract

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

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Ruizhi Huang, Jie Wu. 2017-01-20. On ${\rm mod}~p$ $A_p$-spaces. https://arxiv.org/abs/1701.05803

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