A definition of path-connected topological component
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of topological path-connected-ness of 2 points.
- The reader admits the proposition that topological path-connected-ness of 2 points is an equivalence relation.
Target Context
- The reader will have a definition of path-connected topological component.
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 equivalence class of path-connected-ness of 2 points