Disconnected Space A topological space is said to be a disconnected space if can be separated as the union of two non-empty... Click here to read more

Connected Space A topological space which cannot be written as the union of two non-empty disjoint open sets is said to be... Click here to read more

Components of a Space A connected subspace of a topological space is said to be the component of if it is not properly contained... Click here to read more

Totally Disconnected Space A topological space is said to be a totally disconnected space if any distinct pair of can be separated by... Click here to read more

Some Applications of Connectedness In some applications of connectedness, we shall define two fixed point theorems in connection with the application of connectedness. Fixed... Click here to read more

Compact Space Cover and Sub-Cover Let be a topological space. A collection of subsets of is said to be a cover of... Click here to read more

Finite Intersection Property A collection of subsets of a non-empty set is said to have the finite intersection property if every finite sub-collection... Click here to read more

Local Compact A space is said to be locally compact (briefly Compact) at if and only if has a compact neighbourhood in... Click here to read more