Viewing topic: Homeomorphism

See sub-topics for Homeomorphism ... >> Mathematics >> Mathematical Analysis >> Homeomorphism

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  • Definition: Let X and Y be topological spaces; let f: X -> Y be a bijection. If both the function f and the inverse function f^(-1): Y -> X are continuous, then f is called a homeomorphism.

    Source: Topology (second edition) by James R. Munkres

  • Example: When studying analysis, X and Y can be metric spaces.

  • Listed under: Field Of Topology, Abstract Algebra, Mathematical Analysis

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