Difference between revisions of "Homeomorphism"
From Maths
m |
m |
||
| Line 3: | Line 3: | ||
==Topological Homeomorphism== | ==Topological Homeomorphism== | ||
| − | A topological homeomorphism is [[Bijection|bijective]] map between two [[Topological | + | A topological homeomorphism is [[Bijection|bijective]] map between two [[Topological space|topological spaces]] <math>f:(X,\mathcal{J})\rightarrow(Y,\mathcal{K})</math> where: |
# <math>f</math> is [[Bijection|bijective]] | # <math>f</math> is [[Bijection|bijective]] | ||
Revision as of 19:10, 27 February 2015
Not to be confused with "Homomorphism"
Topological Homeomorphism
A topological homeomorphism is bijective map between two topological spaces [math]f:(X,\mathcal{J})\rightarrow(Y,\mathcal{K})[/math] where:
- [math]f[/math] is bijective
- [math]f[/math] is continuous
- [math]f^{-1}[/math] is continuous
