## Algebraic & Geometric Topology

### On mod $p$ $A_p$–spaces

#### Abstract

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

#### Article information

Source
Algebr. Geom. Topol., Volume 17, Number 4 (2017), 2125-2144.

Dates
Revised: 9 December 2016
Accepted: 26 December 2016
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841439

Digital Object Identifier
doi:10.2140/agt.2017.17.2125

Mathematical Reviews number (MathSciNet)
MR3685604

Zentralblatt MATH identifier
1373.55013

#### Citation

Huang, Ruizhi; Wu, Jie. On mod $p$ $A_p$–spaces. Algebr. Geom. Topol. 17 (2017), no. 4, 2125--2144. doi:10.2140/agt.2017.17.2125. https://projecteuclid.org/euclid.agt/1510841439

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