Homogeneous space
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