A characterization of pseudocompactness

Autor: Prabduh Ram Misra, Vinodkumar
Jazyk: angličtina
Rok vydání: 1981
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 4, Iss 2, Pp 407-409 (1981)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171281000264
Popis: 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.
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