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

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

Weaker properties

• Symmetric space