A note on transport of algebraic structures

TL;DR

This paper investigates the transfer of algebraic structures across different topological spaces, unifying several classical results in topological algebra.

Contribution

It presents a general theorem that encompasses multiple known results on topological group and ring structures in various topological constructions.

Findings

Unified framework for transporting algebraic structures

General theorem subsuming classical results

Enhanced understanding of topological algebraic structures

Abstract

We study transport of algebraic structures and prove a theorem which subsumes results of Comfort and Ross on topological group structures on Stone-Cech compactifications, of Chevalley and of Gil de Lamadrid and Jans on topological group and ring structures on universal covering spaces, and of Gleason on topological group structures on universal locally connected refinements.