Some categorical structures of generalized topologies in terms of monotone operators

Document Type : Research Paper

Authors

1 Department of Mathematics, University of Hormozgan, Bandarabbas, Iran

2 Department of mathematics and Computer Sciences, Sirjan University of Technology, Sirjan, Iran.

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.

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References

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Algebraic Structures and Their Applications
Volume 7, Issue 1
February 2020
Pages 101-115

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