PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 34(48), pp. 243--246 (1983)
THE NOTIONS OF $\bold w$-NET AND Y-COMPACT SPACE VIEWED UNDER INFINITESIMAL MICROSCOPE
Rade \v Zivaljevi\'cMatematicki 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 . 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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