A definition of finite-open-sets-sequence-connected pair of open sets
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of topological space.
Target Context
- The reader will have a definition of finite-open-sets-sequence-connected pair of open sets.
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 pair of open sets, \(U_1, U_2 \subseteq T\), such that there is a finite sequence of open sets of \(T\), \(U_1, U_3, . . ., U_n, U_2\), such that any adjoining pair of elements in the sequence shares a point.
