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On pδs-irresolute functions

Beceren Yusuf, Noiri Takashi

Fasciculi Mathematici

2019

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.

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

Kohli J. K., Aggarwal J.

Demonstratio Mathematica

2012

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 some classes of sets in extremally disconnected spaces

Duszyński Z.

Demonstratio Mathematica

2011

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.