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homeomorphism [2014/10/29 21:12]
nikolaj
homeomorphism [2014/10/29 21:13]
nikolaj
Line 3: Line 3:
 | @#55CCEE: context ​    | @#55CCEE: $\langle X,​\mathcal{T}_X\rangle,​ \langle Y,​\mathcal{T}_Y\rangle$ ... topological spaces | | @#55CCEE: context ​    | @#55CCEE: $\langle X,​\mathcal{T}_X\rangle,​ \langle Y,​\mathcal{T}_Y\rangle$ ... topological spaces |
 | @#FFBB00: definiendum | @#FFBB00: $f\in$ it | | @#FFBB00: definiendum | @#FFBB00: $f\in$ it |
-| @#AAFFAA: inclusion ​  | @#AAFFAA: $f$ ... invertible, continuous ​ |+| @#AAFFAA: inclusion ​  | @#AAFFAA: $f$ ... bijection, continuous ​ |
 | @#55EE55: postulate ​  | @#55EE55: $f^{-1}$ ... continuous ​ | | @#55EE55: postulate ​  | @#55EE55: $f^{-1}$ ... continuous ​ |
  
 ==== Discussion ==== ==== Discussion ====
-Homeomorphisms are continuous ​bijections+A homeomorphism is a bijection which is continuous ​in both directions 
 === Reference === === Reference ===
 Wikipedia: [[https://​en.wikipedia.org/​wiki/​Homeomorphism|Homeomorphism]] Wikipedia: [[https://​en.wikipedia.org/​wiki/​Homeomorphism|Homeomorphism]]
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