Resolving compacta by free p-adic actions

TL;DR

This paper investigates how certain compact spaces can be decomposed using free p-adic group actions, focusing on those with specific cohomological properties related to the group Z[1/p].

Contribution

It introduces a new approach to resolving compacta via free p-adic actions, especially for those with cohomological dimension one over Z[1/p].

Findings

Characterization of compacta resolvable by free p-adic actions.

Identification of conditions for cohomological dimension 1 over Z[1/p].

Extension of resolution techniques to lower-dimensional compacta.

Abstract

In this paper we study compacta Y that are resolvable by a free p-adic action on a compactum of a lower dimension and focus on compacta Y whose cohomological dimension with respect to the group Z[1/p] is 1.