Title of article :
SOME CATEGORICAL STRUCTURES OF GENERALIZED TOPOLOGIES IN TERMS OF MONOTONE OPERATORS
Author/Authors :
Mohammadi Khorsand ، Tahere Department of Mathematics - University of Hormozgan , Mirhosseinkhani ، Ghasem Department of mathematics and Computer Sciences - Sirjan University of Technology
Abstract :
In this paper, we give some generalized categories of topological spaces in terms of monotone operators and investigate some categorical properties of them. In particular, we present some equivalent categories of generalized topological spaces in terms of closure and interior operators. Also, we study the properties of some classes of morphisms as final, initial, closed and open morphisms in these categories.
Keywords :
Generalized topology , generalized category , monotone operator , closure and interior operator
Journal title :
Journal of Algebraic Structures and Their Applications
Journal title :
Journal of Algebraic Structures and Their Applications
