Partial actions on quotient spaces and globalization

DOI10.4995/AGT.2024.17810arXiv2208.03841OpenAlexW4393422294MaRDI QIDQ6127782

Author name not available (Why is that?)

Publication date: 14 April 2024

Published in: Applied General Topology (Search for Journal in Brave)

Abstract: Given a partial action of a topological group G on a space X we determine properties P which can be extended from X to its globalization. We treat the cases when 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 of X; applications to invariant metrics and inverse limits are presented.

Full work available at URL: https://arxiv.org/abs/2208.03841

zbMATH Keywords

orbit spacequotient spacetopological partial action\(G\)-invariant metric\(G\)-equivalent spaces

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Metric spaces, metrizability (54E35) Topological characterizations of particular spaces (54F65)

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