Difference between revisions of "Homeomorphism"

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# <math>f^{-1}</math> is [[Continuous|continuous]]
 
# <math>f^{-1}</math> is [[Continuous|continuous]]
  
 
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{{Definition|Topology}}
[[Category:Topology Definitions]]
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Revision as of 17:59, 12 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:

  1. [math]f[/math] is bijective
  2. [math]f[/math] is continuous
  3. [math]f^{-1}[/math] is continuous