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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 24Issue 3PP: 77-84 • 2024

A new generalized topology coarser than the old generalized topology

Jos´e Sanabria 1* ,
Alexandra Barroso 1 ,
Jorge Vielma 2
1Department of Mathematics, Faculty of Education and Sciences, Universidad de Sucre, Sincelejo, Colombia
2Department of Mathematics, Faculty of Natural Sciences and Mathematics, Escuela Superior Polit´ecnica del Litoral (ESPOL), Campus Gustavo Galindo, Guayaquil, Ecuador
* Corresponding Author.
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: October 18, 2023 Revised: February 19, 2024 Accepted: May 02, 2024

Abstract

In this research work, basic concepts and properties are considered within the context of a generalized topological space (X, μ), as tools to generate a new generalized topology bμ by means of a μ-base formed by the μ-interiors of μ-closed sets. This leads to an exploration of the relationship between some of the properties of the generalized topologies μ and bμ, such as generalized separation axioms, generalized connectedness, generalized continuity, generalized topological sum, and generalized product topology.

Keywords

Generalized topology &mu -open &mu -base &mu -regular space

References

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Cite This Article

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Sanabria, Jos´e, Barroso, Alexandra, Vielma, Jorge. "A new generalized topology coarser than the old generalized topology." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 3, 2024, pp. 77-84. DOI: https://doi.org/10.54216/IJNS.240307
Sanabria, J., Barroso, A., Vielma, J. (2024). A new generalized topology coarser than the old generalized topology. International Journal of Neutrosophic Science, Volume 24(Issue 3), 77-84. DOI: https://doi.org/10.54216/IJNS.240307
Sanabria, Jos´e, Barroso, Alexandra, Vielma, Jorge. "A new generalized topology coarser than the old generalized topology." International Journal of Neutrosophic Science Volume 24, no. Issue 3 (2024): 77-84. DOI: https://doi.org/10.54216/IJNS.240307
Sanabria, J., Barroso, A., Vielma, J. (2024) 'A new generalized topology coarser than the old generalized topology', International Journal of Neutrosophic Science, Volume 24(Issue 3), pp. 77-84. DOI: https://doi.org/10.54216/IJNS.240307
Sanabria J, Barroso A, Vielma J. A new generalized topology coarser than the old generalized topology. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 3):77-84. DOI: https://doi.org/10.54216/IJNS.240307
J. Sanabria, A. Barroso, J. Vielma, "A new generalized topology coarser than the old generalized topology," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 3, pp. 77-84, 2024. DOI: https://doi.org/10.54216/IJNS.240307
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