Difference between revisions of "Homeomorphism"

From Maths
Jump to: navigation, search
Line 9: Line 9:
 
# <math>f^{-1}</math> is [[Continuous|continuous]]
 
# <math>f^{-1}</math> is [[Continuous|continuous]]
  
 
+
{{Definition|Topology}}
[[Category:Topology Definitions]]
+

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 f:(X,J)(Y,K) where:

  1. f is bijective
  2. f is continuous
  3. f1 is continuous