Volume 25 , Issue 4 , PP: 425-432, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Elvis Aponte 1 , Jorge Vielma 2 , Jos´e Sanabria 3 * , Ennis Rosas 4
Doi: https://doi.org/10.54216/IJNS.250436
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.
Topological preorder , Collatz conjeture , Topological convex set
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