%0 Journal Article
%T Contra-continuous functions and strongly S-closed spaces
%A J. Dontchev
%J International Journal of Mathematics and Mathematical Sciences
%D 1996
%I Hindawi Publishing Corporation
%R 10.1155/s0161171296000427
%X In 1989 Ganster and Reilly [6] introduced and studied the notion of LC-continuous functions via the concept of locally closed sets. In this paper we consider a stronger form of LC-continuity called contra-continuity. We call a function f:(X,    ) ¡é   ¡¯(Y,    ) contra-continuous if the preimage of every open set is closed. A space (X,    ) is called strongly S-closed if it has a finite dense subset or equivalently if every cover of (X,    ) by closed sets has a finite subcover. We prove that contra-continuous images of strongly S-closed spaces are compact as well as that contra-continuous,    2-continuous images of S-closed spaces are also compact. We show that every strongly S-closed space satisfies FCC and hence is nearly compact.
%K strongly S-closed
%K closed cover
%K contra-continuous
%K LC-continuous
%K perfectly continuous
%K strongly continuous
%K FCC.
%U http://dx.doi.org/10.1155/S0161171296000427