A definition of interior 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.
Target Context
- The reader will have a definition of interior 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 largest open subset, \(int S \subseteq T\), contained in \(S\), which is \(int S \subseteq S\)