On homotopical and homological $Z_n$-sets

TL;DR

This paper surveys properties of homotopical and homological $Z_n$-sets in topological spaces, highlighting their roles in algebraic topology and geometric topology.

Contribution

It provides a comprehensive overview of the properties and significance of $Z_n$-sets in the context of homotopy and homology theories.

Findings

Summarizes key properties of $Z_n$-sets.

Highlights their applications in topology.

Identifies open problems in the field.

Abstract

We survey some properties of homotopical and homological $Z_n$-sets in topological spaces.