Topological space

A topological space is a set together with a family of open subsets containing the empty set and the whole set and closed under arbitrary unions and finite intersections.

A **topological space** is a fundamental concept in the field of topology, which is a branch of mathematics that studies properties of space that are preserved under continuous transformations. A topological space is defined by a set of points, along with a structure that tells us how these points relate to one another in terms of "closeness" or "continuity.