Definition of homeomorphism in English:

homeomorphism

noun

Mathematics
  • An instance of topological equivalence.

    • ‘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.’

Origin

From Greek homoios ‘like’ + morphē ‘form’ + -ism.

Pronunciation

homeomorphism

/ˌhəʊmɪə(ʊ)ˈmɔːfɪz(ə)m//ˌhɒmɪə(ʊ)ˈmɔːfɪz(ə)m/