A definition of closure of subset of topological space
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of topological space.
- The reader knows a definition of closed set.
Target Context
- The reader will have a definition of closure of subset of topological space.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Definition
For any topological space, \(T\), and any subset, \(S \subseteq T\), the intersection of all the closed sets that contain \(S\) is the closure of \(S\), often denoted as \(\overline{S}\)
