A definition of locally path-connected topological space
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of path-connected topological space.
Target Context
- The reader will have a definition of locally path-connected 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 in any neighborhood, \(N_p \subseteq T\), of any point, \(p \in T\), a path-connected neighborhood, \({N_p}' \subseteq T\), of \(p\) is contained, which is \(p \in {N_p}' \subseteq N_p\)
