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- Free_regular_set abstract "In mathematics, a free regular set is a subset of a topological space that is acted upon disjointly under a given group action.To be more precise, let X be a topological space. Let G be a group of homeomorphisms from X to X. Then we say that the action of the group G at a point is freely discontinuous if there exists a neighborhood U of x such that for all , excluding the identity. Such a U is sometimes called a nice neighborhood of x.The set of points at which G is freely discontinuous is called the free regular set and is sometimes denoted by . Note that is an open set. If Y is a subset of X, then Y/G is the space of equivalence classes, and it inherits the canonical topology from Y; that is, the projection from Y to Y/G is continuous and open.Note that is a Hausdorff space.".
- Free_regular_set wikiPageID "1488962".
- Free_regular_set wikiPageRevisionID "597834548".
- Free_regular_set hasPhotoCollection Free_regular_set.
- Free_regular_set subject Category:Group_actions.
- Free_regular_set subject Category:Topological_groups.
- Free_regular_set type Abstraction100002137.
- Free_regular_set type Act100030358.
- Free_regular_set type Event100029378.
- Free_regular_set type Group100031264.
- Free_regular_set type GroupAction101080366.
- Free_regular_set type GroupActions.
- Free_regular_set type PsychologicalFeature100023100.
- Free_regular_set type TopologicalGroups.
- Free_regular_set type YagoPermanentlyLocatedEntity.
- Free_regular_set comment "In mathematics, a free regular set is a subset of a topological space that is acted upon disjointly under a given group action.To be more precise, let X be a topological space. Let G be a group of homeomorphisms from X to X. Then we say that the action of the group G at a point is freely discontinuous if there exists a neighborhood U of x such that for all , excluding the identity.".
- Free_regular_set label "Free regular set".
- Free_regular_set sameAs m.055cjc.
- Free_regular_set sameAs Q5500285.
- Free_regular_set sameAs Q5500285.
- Free_regular_set sameAs Free_regular_set.
- Free_regular_set wasDerivedFrom Free_regular_set?oldid=597834548.
- Free_regular_set isPrimaryTopicOf Free_regular_set.