On A Bitopological (1,2)*- Proper Functions

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)*- 2 T -spaces , (1,2)*-compactly closed sets and (1,2)*-K-spaces .