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