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Closedness of certain classes of functions in the topology of uniform convergence

100%

Kohli J. K. , Aggarwal J.

2012

tom Vol. 45, nr 4

947-952

In this paper, closedness of certain classes of functions in VX in the topology of uniform convergence is observed. In particular, we show that the function spaces SC(X, Y) of quasi continuous (…) functions, (…) (X, Y ) of (…)-continuous functions and L(X,Y) of cl-supercontinuous functions are closed in YX in the topology of uniform convergence.

On pδs-irresolute functions

100%

Beceren Y. , Noiri T.

Fasciculi Mathematici

2019

tom nr 62

5--12

The object of the present paper is to define and investigate the concepts of pδs-irresolute functions in topological spaces. And we obtain some characterizations and fundamental properties of such functions.

Semi-open sets in biclosure spaces

75%

Khampakdee J. , Boonpok C.

Discussiones Mathematicae - General Algebra and Applications

2009

tom 29

nr 2

181-201

The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semi-open maps in biclosure spaces and study some of their properties.

On some classes of sets in extremally disconnected spaces

63%

Duszyński Z.

2011

tom Vol. 44, nr 1

169--180

In the present paper several characterizations of the classical notion of extremally disconnected spaces are obtained. A few relationships for finite products of extremally disconnected spaces are also studied.