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

Kayathri, K. ; Ravi, O. ; Thivagar, M. L. ; Israel, M. Joseph

Mathematica Bohemica, Tome 135 (2010) no. 1, pp. 1-13

Abstract (VO)

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 $(1,2)^*$-$\mathop{\rm rg}$-continuous, $(1,2)^*$-${\rm R}$-map, almost $(1,2)^*$-continuous function and almost $(1,2)^*$-${\rm rg}$-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 theorems for mildly $(1,2)^*$-normal spaces in bitopological spaces.

Détail

DOI : 10.21136/MB.2010.140676

Classification : 54E55
Keywords: mildly $(1, 2)^*$-normal space; $(1, 2)^*$-${\rm rg}$-closed set; $(1, 2)^*$-${\rm rg}$-continuous function; almost $(1, 2)^*$-continuous function; almost $(1, 2)^*$-${\rm rg}$-closed function

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