Homotopy vs Homomorphism - What's the difference?
homotopy | homomorphism |
(topology) A continuous deformation of one continuous function to another.
(topology) A theory associating a system of groups to each topological space.
(topology) A system of groups associated to a topological space.
(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
As nouns the difference between homotopy and homomorphism
is that homotopy is (topology) a continuous deformation of one continuous function to another while homomorphism is (algebra) a structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces.homotopy
English
(wikipedia homotopy)Noun
(homotopies)Hyponyms
* (continuous deformation) isotopyhomomorphism
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.