# Compactly generated Hausdorff space

From Topospaces

## Definition

A **compactly generated Hausdorff space** is a topological space that is both a compactly generated space and a Hausdorff 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

*This article describes a property of topological spaces obtained as a conjunction of the following two properties:* compactly generated space and Hausdorff space