D-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

Definition

Symbol-free definition

A D-space is a topological space satisfying the following condition. Consider any map that associates to each point, an open set of the space containing that point. Then, we can find a discrete subset of the space such that the union of the open sets corresponding to points in that discrete subset, is the whole space.

Definition with symbols

Relation with other properties

Stronger properties