## Base or Open Base of a Topology

Let be a topological space, then the sub collection of is said to be base or bases or open base... Click here to read more

From basic to higher mathematics

Let be a topological space, then the sub collection of is said to be base or bases or open base... Click here to read more

Let be a topological space. A sub-collection of subset of is said to be an open subbase for or a... Click here to read more

Let be a topological space and , then the sub collection is said to be local bases at a point... Click here to read more

Let be a topological space, then is said to be first countable space if for every has a countable local... Click here to read more

Let be a topological space, then is said to be second countable space, if has a countable bases. In other... Click here to read more

Open Cover: Let be a topological space. A collection of open subsets of is said to be open cover for... Click here to read more

A topological space , is said to be separable space, if it has a countable dense subset in . i.e.,... Click here to read more

Let be a function define from topological space to topological space , then is said to be continuous at a... Click here to read more

Open Mapping: A mapping from one topological space into another topological space is said to be an open mapping if... Click here to read more

A function is said to be homeomorphism (topological mapping) if and only if the following conditions are satisfied: (1) is... Click here to read more

A property is said to be a topological property if whenever a space has the property , all spaces which... Click here to read more

Products of Sets: If and are two non-empty sets, then Cartesian product is defined as . Projection Maps: Let and... Click here to read more