International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1981 / Article

Open Access

Volume 4 |Article ID 497395 | https://doi.org/10.1155/S0161171281000264

Prabduh Ram Misra, Vinodkumar, "A characterization of pseudocompactness", International Journal of Mathematics and Mathematical Sciences, vol. 4, Article ID 497395, 3 pages, 1981. https://doi.org/10.1155/S0161171281000264

A characterization of pseudocompactness

Received06 Oct 1980

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.

Copyright © 1981 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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