ultraparacompact

Definition

A Hausdorff space is ultraparacompact if every open cover of the space is refined by some locally finite clopen cover.

Property

• A Hausdorff space is ultraparacompact if and only if it is ultranormal and paracompact.

Reference

• Robert L. Ellis, Extending continuous functions on zero-dimensional spaces, Mathematische Annalen 186. URL:http://www.springerlink.com/content/u545572g8u66652k/