A definition of topological connected-ness of 2 points
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of connected topological space.
- The reader knows a definition of subspace topology.
Target Context
- The reader will have a definition of connected-ness of any 2 points on any 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, \(T\), any points, \(p_1, p_2 \in T\), are connected if there is a connected topological subspace, \(T_1 \subseteq T\), that contains the 2 points
