Homogeneous space: Difference between revisions
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* Underlying space of a [[topological group]] | * Underlying space of a [[topological group]] | ||
* [[Connected manifold]] | |||
===Weaker properties=== | ===Weaker properties=== | ||
* [[Symmetric space]] | * [[Symmetric space]] | ||
Revision as of 23:57, 10 November 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
Template:Self-symmetry-related
Definition
Symbol-free definition
A topological space is said to be homogeneous if given any two points in it, there is a homeomorphism from the topological space to itself that maps the first point to the second.
Relation with other properties
Stronger properties
- Underlying space of a topological group
- Connected manifold