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

Ruizhi Huang; Jie Wu

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

Algebraic Topology 2019-05-14 v2

Authors: Ruizhi Huang , Jie Wu

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.

Keywords

homotopy groups lp spaces and inequalities

Cite

@article{arxiv.1701.05803,
  title  = {On ${\rm mod}~p$ $A_p$-spaces},
  author = {Ruizhi Huang and Jie Wu},
  journal= {arXiv preprint arXiv:1701.05803},
  year   = {2019}
}

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