EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 34(48), pp. 243--246 (1983)

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THE NOTIONS OF $\bold w$-NET AND Y-COMPACT SPACE VIEWED UNDER INFINITESIMAL MICROSCOPE

Rade \v Zivaljevi\'c

Matematicki institut SANU, Beograd, Yugoslavia

Abstract: Nonstandard analysis of A. Robinson is used to give a nonstandard description of the notion of $w$-net introduced by H.J. Wu in [6]. This concept leads to the notion of $Y$-compact space so that $[0,1]$-compact spaces are compact in the usual sence while $R$-compact spaces are E. Hewit's realcompact spaces.

Classification (MSC2000): 03H05

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Electronic fulltext finalized on: 3 Nov 2001. This page was last modified: 16 Nov 2001.

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