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Displaying similar documents to “On θ -closed sets and some forms of continuity”

A characterization of almost continuity and weak continuity

Chrisostomos Petalas, Theodoros Vidalis (2004)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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It is well known that a function f from a space X into a space Y is continuous if and only if, for every set K in X the image of the closure of K under f is a subset of the closure of the image of it. In this paper we characterize almost continuity and weak continuity by proving similar relations for the subsets K of X .

Mildly ( 1 , 2 ) * -normal spaces and some bitopological functions

K. Kayathri, O. Ravi, M. L. Thivagar, M. Joseph Israel (2010)

Mathematica Bohemica

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The aim of the paper is to introduce and study a new class of spaces called mildly ( 1 , 2 ) * -normal spaces and a new class of functions called ( 1 , 2 ) * - rg -continuous, ( 1 , 2 ) * - R -map, almost ( 1 , 2 ) * -continuous function and almost ( 1 , 2 ) * - rg -closed function in bitopological spaces. Subsequently, the relationships between mildly ( 1 , 2 ) * -normal spaces and the new bitopological functions are investigated. Moreover, we obtain characterizations of mildly ( 1 , 2 ) * -normal spaces, properties of the new bitopological functions and preservation...