2023-02-26

211: Locally Connected Topological Space

<The previous article in this series | The table of contents of this series | The next article in this series>

A definition of locally connected topological space

Topics


About: topological space

The table of contents of this article


Starting Context



Target Context


  • The reader will have a definition of locally 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 connected neighborhood, \({N_p}' \subseteq T\), of \(p\) is contained, which is \(p \in {N_p}' \subseteq N_p\)


References


<The previous article in this series | The table of contents of this series | The next article in this series>