文章基本信息

标题：A characterization of pseudocompactness
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作者：Prabduh Ram Misra ; Vinodkumar
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1981
卷号：4
期号：2
页码：407-409
DOI：10.1155/S0161171281000264
出版社：Hindawi Publishing Corporation
摘要：
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 .