Functionally Separation Axioms on General Topology

Abdelwaheb Mhemdi, Tareq M. Al-shami and Jia-Bao Liu

Journal of Mathematics, 2021, vol. 2021, 1-5

Abstract: In this paper, we define a new family of separation axioms in the classical topology called functionally Ti spaces for i=0,1,2. With the assistant of illustrative examples, we reveal the relationships between them as well as their relationship with Ti spaces for i=0,1,2. We demonstrate that functionally Ti spaces are preserved under product spaces, and they are topological and hereditary properties. Moreover, we show that the class of each one of them represents a transitive relation and obtain some interesting results under some conditions such as discrete and Sierpinski spaces.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5590047

DOI: 10.1155/2021/5590047

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