Title of article :
On A Bitopological (1,2)*- Proper Functions
Author/Authors :
Mahmood, S . I . Al-Mustansiriyah University - College of Science - Department of Mathematics, Iraq
Abstract :
In this paper, we introduce a new type of functions in bitopological spaces, namely, (1,2)*-proper functions. Also, we study the basic properties and characterizations of these functions . One of the most important of equivalent definitions to the (1,2)*-proper functions is given by using (1,2)*-cluster points of filters . Moreover we define and study (1,2)*-perfect functions and (1,2)*-compact functions in bitopological spaces and we study the relation between (1,2)*-proper functions and each of (1,2)*-closed functions , (1,2)*-perfect functions and (1,2)*-compact functions and we give an example when the converse may not be true .
Keywords :
(1 , 2)* , proper functions , (1 , 2)* , perfect functions , (1 , 2)* , compact functions , (1 , 2)* , cluster points , (1 , 2)* , 2T , spaces , (1 , 2)* , compactly closed sets and (1 , 2)* , K , spaces .
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science