Separation Axioms

A topological space $$X$$ is said to be a $${T_o}$$ space if for any pair of distinct points of $$X$$,… Click here to read more

A topological space $$X$$ is said to be a $${T_1}$$ space if for any pair of distinct points of $$X$$,… Click here to read more

A Hausdorff space is a topological space in which each pair of distinct points can be separated by a disjoint… Click here to read more

Let $$\left( {X,\tau } \right)$$ be a topological space, then for every non-empty closed set $$F$$ and a point $$x$$… Click here to read more

A topological space $$X$$ is said to be a completely regular space if every closed set $$A$$ in $$X$$ and… Click here to read more

Let $$X$$ be a topological space and $$A$$ and $$B$$ are disjoint closed subsets of $$X$$, then $$X$$ is said… Click here to read more