# D-space

From Topospaces

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

## Contents

## 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.