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In this paper, we define a new family of separation axioms in the classical topology called functionally spaces for . With the assistant of illustrative examples, we reveal the relationships… Click to show full abstract
In this paper, we define a new family of separation axioms in the classical topology called functionally spaces for . With the assistant of illustrative examples, we reveal the relationships between them as well as their relationship with spaces for . We demonstrate that functionally 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.
Journal Title: Journal of Mathematics
Year Published: 2021
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