Finite-dimensional space: Difference between revisions
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===Stronger properties=== | ===Stronger properties=== | ||
* [[ | * [[Manifold]] (here the topological dimension is bounded from above by the dimension of the manifold itself) | ||
===Weaker properties=== | ===Weaker properties=== | ||
* [[Locally finite-dimensional space]] | * [[Locally finite-dimensional space]] | ||
Revision as of 21:52, 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
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)