A definition of normal 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 normal 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
Any topological space, \(T\), such that for any disjoint closed sets, \(C_1, C_2 \subseteq T\), there are some disjoint open sets, \(U_1, U_2 \subseteq T\), such that \(C_1 \subseteq U_1\) and \(C_2 \subseteq U_2\)