ISOMORPHISM

isomorphism, isomorphy

(noun) (biology) similarity or identity of form or shape or structure

Source: WordNet® 3.1

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Etymology

Noun

isomorphism (plural isomorphisms)

Similarity of form

(biology) the similarity in form of organisms, which may be due to convergent evolution or shared genetic background, e.g. an algae species in which the haploid and diploid life stages are indistinguishable based on morphology.

(chemistry) the similarity in the crystal structures of similar chemical compounds

(sociology) the similarity in the structure or processes of different organizations

A one-to-one correspondence

(group algebra) A bijection f such that both f and its inverse f ⁻¹ are homomorphisms, that is, structure-preserving mappings.

(computer science) a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets

(category theory) A morphism which has an inverse; the composition of the morphism and its inverse yields either one of two identity morphisms (depending on the order of composition).

Synonyms

• (in category theory): iso

Antonyms

• anisomorphism

Source: Wiktionary

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I`so*mor"phism, n. Etym: [Cf. F. isomorphisme.] (Crystallog.)

Definition: A similarity of crystalline form between substances of similar composition, as between the sulphates of barium (BaSO4) and strontium (SrSO4). It is sometimes extended to include similarity of form between substances of unlike composition, which is more properly called homoeomorphism.

Source: Webster’s Unabridged Dictionary 1913 Edition

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