Homomorphism vs Homeomorphism - What's the difference?
homomorphism | homeomorphism |
(algebra) A structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces.
(biology) A similar appearance of two unrelated organisms or structures
(topology) a continuous bijection from one topological space to another, with continuous inverse.
(chemistry) a similarity in the crystal structure of unrelated compounds
As nouns the difference between homomorphism and homeomorphism
is that homomorphism is a structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces while homeomorphism is a continuous bijection from one topological space to another, with continuous inverse.homomorphism
English
Noun
(en noun)- A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.