Definition of homeomorphism in English:
homeomorphism
nounˌhəʊmɪə(ʊ)ˈmɔːfɪz(ə)mˌhɒmɪə(ʊ)ˈmɔːfɪz(ə)mˌhoʊmiəˈmɔrˌfɪzəm
Mathematics An instance of topological equivalence.
Example sentencesExamples
- 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.
- 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.
Origin
From Greek homoios 'like' + morphē 'form' + -ism.
Definition of homeomorphism in US English:
homeomorphism
nounˌhōmēəˈmôrˌfizəmˌhoʊmiəˈmɔrˌfɪzəm
Mathematics An instance of topological equivalence to another space or figure.
Example sentencesExamples
- 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.
- 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.
Origin
From Greek homoios ‘like’ + morphē ‘form’ + -ism.