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

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

Mathematica Bohemica (2010)

  • Volume: 135, Issue: 1, page 1-13
  • ISSN: 0862-7959

Abstract

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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 theorems for mildly ( 1 , 2 ) * -normal spaces in bitopological spaces.

How to cite

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Kayathri, K., et al. "Mildly ($1,2)^*$-normal spaces and some bitopological functions." Mathematica Bohemica 135.1 (2010): 1-13. <http://eudml.org/doc/38106>.

@article{Kayathri2010,
abstract = {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.},
author = {Kayathri, K., Ravi, O., Thivagar, M. L., Israel, M. Joseph},
journal = {Mathematica Bohemica},
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; mildly -normal space; --closed set; --continuous function; almost -continuous function; almost --closed function},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Mildly ($1,2)^*$-normal spaces and some bitopological functions},
url = {http://eudml.org/doc/38106},
volume = {135},
year = {2010},
}

TY - JOUR
AU - Kayathri, K.
AU - Ravi, O.
AU - Thivagar, M. L.
AU - Israel, M. Joseph
TI - Mildly ($1,2)^*$-normal spaces and some bitopological functions
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 1
SP - 1
EP - 13
AB - 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.
LA - eng
KW - 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; mildly -normal space; --closed set; --continuous function; almost -continuous function; almost --closed function
UR - http://eudml.org/doc/38106
ER -

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