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 f:(X,J)→(Y,K) where:
- f is bijective
- f is continuous
- f−1 is continuous