Homogeneous locally compact spaces

2023/12/30 by Vesko Valov, Valov, Vesko
Mathematics · #Fixed Point Theorems Analysis #Advanced Banach Space Theory #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2401.00341

Abstract

This is a survey of the recent results and unsolved problems about locally compact homogeneous metric spaces. Mostly, homogeneous finite-dimensional ANR-spaces are discussed.

Related

• Local structure of homogeneous ANR-spaces
• Homogeneous metric ANR-compacta
• Homological dimension and homogeneous ANR spaces
• A compactness theorem for locally homogeneous spaces
• Homogeneous spaces not separated by arcs