A definition of Hausdorff 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 neighborhood of point.
Target Context
- The reader will have a definition of Hausdorff 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 pair of distinct points, \(p_1, p_2 \in T\) such that \(p_1 \neq p_2\), there are any neighborhood of \(p_1\), \(U_{p_1}\), and any neighborhood of \(p_2\), \(U_{p_2}\), such that \(U_{p_1} \cap U_{p_2} = \emptyset\)
