Extensions of maps to M(Z_m,1)

TL;DR

This paper proves that Moore spaces M(Z_m,1) serve as absolute extensors for certain finite-dimensional metrizable spaces with low cohomological dimension, expanding understanding of extension properties in topology.

Contribution

It establishes that M(Z_m,1) is an absolute extensor for spaces with cohomological dimension at most 1, generalizing previous extension results.

Findings

Moore space M(Z_m,1) is an absolute extensor for spaces with dim_{Z_m} 

Extension properties hold for finite-dimensional metrizable spaces with low cohomological dimension

Advances the theory of extension in algebraic topology

Abstract

We show that a Moore space M(Z_m,1) is an absolute extensor for finite dimensional metrizable spaces of cohomological dimension dim_{Z_m} \leq 1.