Viewing topic: Homeomorphism

See sub-topics for Homeomorphism ... >> Mathematics >> Abstract Algebra >> Homeomorphism

Highest Rated Sign

No video has been submitted for this term

Nobody has posted a sign yet.


  • 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

  • There are no comments for this topic.