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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 4PP: 425-432 • 2025

On a convex topological order and neutrosophic continuous sets

Elvis Aponte 1* ,
Jorge Vielma 1 ,
Jos´e Sanabria 2 ,
Ennis Rosas 3
1Department of Mathematics, Faculty of Natural Sciences and Mathematics, Escuela Superior Polit´ecnica del Litoral, ESPOL, Campus Gustavo Galindo, km. 30.5 v´ıa Perimetral, Guayaquil, Ecuador
2Department of Mathematics, Faculty of Education and Sciences, Universidad de Sucre, Sincelejo, Colombia
3Department of Natural and Exact Sciences, Universidad de la Costa, Barranquilla, Colombia
* Corresponding Author.
Received: November 07, 2024 Revised: December 18, 2024 Accepted: January 29, 2025

Abstract

In this paper, we employ the classical topological preorder to introduce the concept of topologically bounded sets, in order to relate it to the Collatz conjecture problem. In addition, this preorder allows us to derive some results about topologically convex sets, showing that these form a convex structure. Finally, using this topological preorder, we define the neutrosophic continuous sets and establish the necessary conditions to identify the points that are connected to these sets, which form a topological convex set.

Keywords

Topological preorder Collatz conjeture Topological convex set

References

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Cite This Article

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Aponte, Elvis, Vielma, Jorge, Sanabria, Jos´e, Rosas, Ennis. "On a convex topological order and neutrosophic continuous sets." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, 2025, pp. 425-432. DOI: https://doi.org/10.54216/IJNS.250436
Aponte, E., Vielma, J., Sanabria, J., Rosas, E. (2025). On a convex topological order and neutrosophic continuous sets. International Journal of Neutrosophic Science, Volume 25(Issue 4), 425-432. DOI: https://doi.org/10.54216/IJNS.250436
Aponte, Elvis, Vielma, Jorge, Sanabria, Jos´e, Rosas, Ennis. "On a convex topological order and neutrosophic continuous sets." International Journal of Neutrosophic Science Volume 25, no. Issue 4 (2025): 425-432. DOI: https://doi.org/10.54216/IJNS.250436
Aponte, E., Vielma, J., Sanabria, J., Rosas, E. (2025) 'On a convex topological order and neutrosophic continuous sets', International Journal of Neutrosophic Science, Volume 25(Issue 4), pp. 425-432. DOI: https://doi.org/10.54216/IJNS.250436
Aponte E, Vielma J, Sanabria J, Rosas E. On a convex topological order and neutrosophic continuous sets. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 4):425-432. DOI: https://doi.org/10.54216/IJNS.250436
E. Aponte, J. Vielma, J. Sanabria, E. Rosas, "On a convex topological order and neutrosophic continuous sets," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, pp. 425-432, 2025. DOI: https://doi.org/10.54216/IJNS.250436
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