Locally compact paracompact 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

Definition

Symbol-free definition

A topological space is termed locally compact paracompact Hausdorff if it is locally compact, paracompact, and Hausdorff.

Relation with other properties

Stronger properties

• Manifold

Weaker properties

• Locally compact Hausdorff space
• Normal space
• Paracompact Hausdorff space
• First-countable space
• Second-countable space if we also assume that the space is connected