Mathematics > General Topology
[Submitted on 7 Aug 2022 (v1), last revised 20 Dec 2023 (this version, v2)]
Title:Partial actions on quotient spaces and globalization
View PDF HTML (experimental)Abstract:Given a partial action of a topological group $G$ on a space $X$, we determine properties $\mathcal P$ which can be extended from $X$ to its globalization. We treat the cases when $\mathcal P$ is any of the following: Hausdorff, regular, metrizable, second countable and having invariant metric. Further, for a normal subgroup $H$ we introduce and study a partial action of $G/H$ on the orbit space $X/\!\sim,$ applications to invariant metrics and inverse limits are presented.
Submission history
From: Hector Pinedo [view email][v1] Sun, 7 Aug 2022 23:18:19 UTC (25 KB)
[v2] Wed, 20 Dec 2023 14:08:39 UTC (26 KB)
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