Characterizations of $G$-ANR spaces and inverse limits

Sergey A. Antonyan; Aura Lucina Kantún-Montiel; Jesús Eduardo Mata-Cano; Armando Mata-Romero

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arXiv · 2601.07027

Characterizations of $G$-ANR spaces and inverse limits

Sergey A. Antonyan·Aura Lucina Kantún-Montiel·Jesús Eduardo Mata-Cano·Armando Mata-Romero

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Abstract

In this paper we prove that, for a compact group $G$, a metrizable $G$-space is a $G$-ANR under the following asumptions: (1) if it dominates a $G$-ANR space through a fine $G$-homotopy equivalence; (2) if it is $G$-homotopy dense in a $G$-ANR; (3) if it contains a $G$-ANR as a $G$-homotopy dense subset; (4) if it is the inverse limit of an inverse sequence of $G$-ANR spaces with bonding maps that are fine $G$-homotopy equivalences.

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BibTeX RIS

Sergey A. Antonyan, Aura Lucina Kantún-Montiel, Jesús Eduardo Mata-Cano, Armando Mata-Romero. 2026-01-11. Characterizations of $G$-ANR spaces and inverse limits. https://arxiv.org/abs/2601.07027

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