Topological and Metric Spaces

Abstract

A topological space is a pair (X,T), where X is a set and T a collection of subsets of X such that Ø, X ∈ T and T is closed under arbitrary unions and finite intersections. Such a collection is called a topology on X and its members open sets. The complements of open sets are called closed. Both Ø,X are closed and arbitrary intersections and finite? unions of closed sets are closed.KeywordsTopological SpacePolish SpaceRelative TopologyMetrizable SpaceFinite IntersectionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.