Difference between revisions of "Homeomorphism"

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Revision as of 17:37, 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