Characterizations of $G$-ANR spaces and inverse limits
Geometric Topology
2026-01-13 v1 Algebraic Topology
General Topology
Abstract
In this paper we prove that, for a compact group , a metrizable -space is a -ANR under the following asumptions: (1) if it dominates a -ANR space through a fine -homotopy equivalence; (2) if it is -homotopy dense in a -ANR; (3) if it contains a -ANR as a -homotopy dense subset; (4) if it is the inverse limit of an inverse sequence of -ANR spaces with bonding maps that are fine -homotopy equivalences.
Cite
@article{arxiv.2601.07027,
title = {Characterizations of $G$-ANR spaces and inverse limits},
author = {Sergey A. Antonyan and Aura Lucina Kantún-Montiel and Jesús Eduardo Mata-Cano and Armando Mata-Romero},
journal= {arXiv preprint arXiv:2601.07027},
year = {2026}
}
Comments
16 pages