PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 36(50), pp. 99102 (1984) 

A NOTE ON INVERSEPRESERVATIONS OF REGULAR OPEN SETSTakashi NoiriDepartment of Mathematics, Yatsushiro College of Technology Yatsushiroshi, Kumamotoken, 866 JapanAbstract: 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 almostcontinuous and almostclosed 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 Full text of the article:
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