Definitions

1. proper noun

Felix Hausdorff, a German mathematician, after whom the Hausdorff space is named.

“The mathematician Felix Hausdorff is credited with developing the Hausdorff space.”

2. noun

A topological space in which the Hausdorff separation axiom holds.

“The new research focused on the properties of Hausdorff spaces in topology.”

3. adjective

Describing a space that satisfies the Hausdorff separation axiom.

“The Hausdorff property is essential in the study of topological spaces.”