Topological space

Metadata
shorthands: {}
aliases: [topological space]
created: 2021-12-15 11:41:05
modified: 2022-06-05 19:33:31

A topological space is a set and a collection of subsets of called open sets such that satisfies the following axioms:

T1

T2

The union of any members of is a member of

T3

The intersection of finitely many members of is a member of

Terminology

The set is called a topology for .

Examples