Partial actions on quotient spaces and globalization
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...
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Veröffentlicht in: | Applied general topology 2024-04, Vol.25 (1), p.125-141 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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. |
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ISSN: | 1576-9402 1989-4147 |
DOI: | 10.4995/agt.2024.17810 |