G-actions with close orbit spaces

Harvey, John ORCID: https://orcid.org/0000-0001-9211-0060 2017. G-actions with close orbit spaces. Transformation Groups 22 (4) , pp. 967-977. 10.1007/s00031-017-9426-9

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Abstract

The classification of G-spaces by Palais is refined for the case where the orbit space satisfies certain mild topological hypotheses. It is shown that when a sequence of such orbit spaces converges, in some suitable sense, within an ambient orbit space, the G-spaces in the tail of the sequence are equivariantly homeomorphic to the limit G-space. This refinement makes possible the first geometric applications of Palais’ classification.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Publisher:	Springer
ISSN:	1083-4362
Last Modified:	10 Nov 2022 11:33
URI:	https://orca.cardiff.ac.uk/id/eprint/150996

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