## Definition of Topology

Let be a non empty set. A collection of subsets of is said to be a topology on if the... Click here to read more

From basic to higher mathematics

Let be a non empty set. A collection of subsets of is said to be a topology on if the... Click here to read more

If and are two topologies defined on the non empty set X such that , i.e. each member of is... Click here to read more

Indiscrete Topology: The collection of the non empty set and the set X itself is always a topology on X... Click here to read more

Intersection of any two topologies on a non empty set is always topology on that set. While the union of... Click here to read more

Usual Topology on : A collection of subsets of which can be can be expressed as union of open intervals,... Click here to read more

Let be a topological space, then a member of is said to be an open set in . Thus, in... Click here to read more

Let is a non empty set, and then the collection of subsets of whose compliments are finite along with (empty... Click here to read more

Let be a topological space, then a subset of X whose complement is a member of is said to be... Click here to read more

We shall describe a method of constructing new topologies from the given ones. If is a topological space and is... Click here to read more

Let is a topological space with topology , and is a subset of . A point is said to be... Click here to read more

Let be a subset of a topological space , then a point is said to be an isolated point of... Click here to read more

Let be a topological space and is a subset of , then the closure of is denoted by or is... Click here to read more

Let be a topological space. A subset of containing is said to be neighbourhood of if there exist an open... Click here to read more

Let be the topological space and , then a point is said to be an interior point of set ,... Click here to read more

Let be a topological space and be a subset of , then a point , is said to be an... Click here to read more

Let be a subset of a topological space , a point is said to be boundary point or frontier point... Click here to read more