New open set on topological space with generalized topology

Gasim, Suaad G.; Abd Ul Ridha, Muna L.

doi:10.47974/JIM-1531

Open Access Research Article

New open set on topological space with generalized topology

^*Suaad G. GasimCorresponding authorj.j@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceBaghdad UniversityBaghdad, IraqView full profile → , Muna L. Abd Ul Ridhamona.laith1203a@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceBaghdad UniversityBaghdad, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 931–935Vol. 26Issue 5August 2023DOI: 10.47974/JIM-1531XML

Received:: 08 Jun 2022
Accepted:: 08 Jul 2022
Published Online:: 15 Jul 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1531
Pages:: 931–935

Abstract

We all know the vast number of studies that presented several generalizations of open sets in topological spaces. On the other hand, since 2002 when A. Csaszar introduced the definition of generalized topology, other generalizations of open sets have appeared in generalized topological spaces. Our study provides a new generalization for an open set, where the definition will be a mixture of ordinary topology and generalized topology. Our new open set is named Xw-open set. We give several characterizations, properties, and examples related to the new concept.

Keywords

Generalized topological Spaces ꞷ-open ꞷ-closed Xꞷ-open and Xꞷ-closed set

Subject Classifications

18B3028C15

Acknowledgements

Obaid (61__icmas_h25)

References

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