Locally compact paracompact Hausdorff space

Symbol-free definition
A topological space is termed locally compact paracompact Hausdorff if it is locally compact, paracompact, and Hausdorff.

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