Closed sub-Euclidean 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

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Definition

Symbol-free definition

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

Relation with other properties

Stronger properties

• Open sub-Euclidean space
• Manifold

Weaker properties

• Sub-Euclidean space
• Metrizable space