Functionally Separation Axioms on General Topology | Zendy

Abdelwaheb Mhemdi | Zendy; Tareq M. Al-shami | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Functionally Separation Axioms on General Topology

Author(s) -

Abdelwaheb Mhemdi,

Tareq M. Al-shami

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5590047

Subject(s) - mathematics , axiom , axiom of choice , hausdorff space , class (philosophy) , product (mathematics) , sierpinski triangle , discrete mathematics , topology (electrical circuits) , combinatorics , fractal , geometry , computer science , set theory , mathematical analysis , set (abstract data type) , artificial intelligence , programming language

In this paper, we define a new family of separation axioms in the classical topology called functionally T i spaces for i = 0,1,2 . With the assistant of illustrative examples, we reveal the relationships between them as well as their relationship with T i spaces for i = 0,1,2 . We demonstrate that functionally T i 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research