isomorphism

from WordNet (r) 3.0 (2006)

isomorphism
    n 1: (biology) similarity or identity of form or shape or
         structure [syn: {isomorphism}, {isomorphy}]

from The Collaborative International Dictionary of English v.0.48

Isomorphism \I`so*mor"phism\, n. [Cf. F. isomorphisme.]
   1. (Crystallog.) 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 {hom[oe]omorphism}.

   2. (Math.) A one-to-one mapping of one set onto another set
      which preserves the relations between the elements of the
      domains of the sets.
      [PJC]

from The Free On-line Dictionary of Computing (8 July 2008)

isomorphism

   <mathematics> A {bijective} {map} between two objects which
   preserves, in both directions, any structure under
   consideration.  Thus a `group isomorphism' preserves group
   structure; an order isomorphism (between {posets}) preserves
   the order relation, and so on.  Usually it is clear from
   context what sort of isomorphism is intended.

   (1995-03-25)