A definition of homeomorphism
Topics
About: topological space
About: map
The table of contents of this article
Starting Context
- The reader knows a definition of topological space.
- The reader knows a definition of continuous map.
Target Context
- The reader will have a definition of homeomorphism.
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 spaces, \(T_1\) and \(T_2\), the pair of any bijective map and its inverse, \(f: T_1 \rightarrow T_2\) and \(f^{-1}: T_2 \rightarrow T_1\), that are continuous
