Continuous group action

id: continuous-group-action-236-7187457
title: Continuous group action
text: In topology, a continuous group action on a topological space X is a group action of a topological group G that is continuous: i.e., is a continuous map. Together with the group action, X is called a G-space. If f : H → G is a continuous group homomorphism of topological groups and if X is a G-space, then H can act on X by restriction: h ⋅ x = f x , making X a H-space. Often f is either an inclusion or a quotient map. In particular, any topological space may be thought of as a G-space via G → 1
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Continuous_group_action
date created:
date modified: 2022-10-22T06:14:40Z
main entity: {"identifier":"Q16951242","url":"https://www.wikidata.org/entity/Q16951242"}
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fields total: 13
integrity: 13

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