Difference between revisions of "Homeomorphism"
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# <math>f</math> is [[Continuous map|continuous]] | # <math>f</math> is [[Continuous map|continuous]] | ||
# <math>f^{-1}</math> is [[Continuous map|continuous]] | # <math>f^{-1}</math> is [[Continuous map|continuous]] | ||
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| + | ==See also== | ||
| + | * [[Composition of continuous maps is continuous]] | ||
{{Definition|Topology}} | {{Definition|Topology}} | ||
Revision as of 20:33, 24 April 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
