Open sub-Euclidean space

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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

This term is nonstandard and is being used locally within the wiki. For its use outside the wiki, please define the term when using it.

Definition

A topological space is termed an open sub-Euclidean space if it can be embedded as an open subset of (finite-dimensional) Euclidean space.

Relation with other properties

Weaker properties

  • Manifold: This follows from the fact that any open subset of a manifold is again a manifold