학술논문
A CHARACTERIZATION OF PSEUDOCOMPACTNESS
Document Type
Article
Author
Source
International Journal of Mathematics and Mathematical Sciences. Vol. 1981, p407-409. 3 p.
Subject
Language
英文
ISSN
0161-1712
Abstract
It is proved here that a completely regular Hausdorff space X is pseudocompact if and only if for any continuous function f from X to a pseudocompact space (or a compact space) Y, f^*φ is z-ultrafilter whenever φ is a z-ultrafilter on X.