EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 36(50), pp. 99--102 (1984)

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A NOTE ON INVERSE-PRESERVATIONS OF REGULAR OPEN SETS

Takashi Noiri

Department of Mathematics, Yatsushiro College of Technology Yatsushiro-shi, Kumamoto-ken, 866 Japan

Abstract: In this note an example is given in order to show that the following lemma is false (Kovacevi\'c [3]): If $f:X\to Y$ is an almost-continuous and almost-closed function, then $f^{-1}(V)$ is regular open (resp.\ regular closed) in $X$ for every regular open (resp.\ regular closed) set $V$ of $Y$.

Classification (MSC2000): 54C10

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

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