Definition of homeomorphism in English:

homeomorphism

noun

Mathematics
  • An instance of topological equivalence to another space or figure.

    • ‘We prove that it is not possible to extend, in a homomorphic fashion, each quasisymmetric homeomorphism of the circle to a quasiconformal homeomorphism of the disk.’
    • ‘In topology, the most basic equivalence is a homeomorphism, which allows spaces that appear quite different in most other subjects to be declared equivalent in topology.’

Pronunciation:

homeomorphism

/ˌhōmēəˈmôrˌfizəm/