A definition of neighborhood basis at point
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.
Target Context
- The reader will have a definition of neighborhood basis at point.
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, \(T\), and any point, \(p \in T\), any set, \(B_p\), of some \(p\) neighborhoods such that for each \(p\) neighborhood, \(N_p\), there is an element of \(B_p\) which is contained in \(N_p\)
