Finite-dimensional 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

A topological space is said to be finite-dimensional if it has a finite topological dimension.

Relation with other properties

Stronger properties

• Manifold (here the topological dimension is bounded from above by the dimension of the manifold itself)

Weaker properties

• Locally finite-dimensional space