A characterization of pseudocompactness

Prabduh Ram Misra and Vinodkumar

International Journal of Mathematics and Mathematical Sciences, 1981, vol. 4, 1-3

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 .

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:497395

DOI: 10.1155/S0161171281000264

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