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homomorphism
(redirected from Homomorphisms)

   Also found in: Encyclopedia, Wikipedia 0.01 sec.
ho·mo·mor·phism  (hm-môrfzm, hm-)
n.
1. Biology Similarity of external form or appearance but not of structure or origin.
2. Zoology A resemblance in form between the immature and adult stages of an animal.
3. Mathematics A transformation of one set into another that preserves in the second set the operations between the members of the first set.

homo·morphic, homo·morphous adj.

homomorphism [ˌhəʊməʊˈmɔːfɪzəm ˌhɒm-], homomorphy
n
(Life Sciences & Allied Applications / Biology) Biology similarity in form
homomorphic , homomorphous adj

homomorphism  (hm-môrfzm, hm-)
A transformation of one set into another that preserves in the second set the operations between the members of the first set.
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.homomorphism - similarity of form
similarity - the quality of being similar


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The expository articles discuss asymptotic geometry of foliations and pseudo-Anosov flows, Pontrjagin class and higher torsion of sphere bundles, L2-torsion invariants and the Magnus representation of the mapping class group, parameterized Gromov-Witten invariants and topology of symplectomorphism groups, mapping class actions on surface group completions, and Johnson's homomorphisms and the rational cohomology of subgroups of the mapping class groups.
We shall exploit the connection between Jordan algebras and the Wishart distribution, and characterize the Wishartness of a quadratic form Q(Y) in terms of Jordan algebra homomorphisms or more precisely, Jordan algebra representations.
 
 
 
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