similarity in crystalline form but not necessarily in chemical composition.
Mathematics. a function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous.

1850–55; homeomorph + -ism

homeomorphic, homeomorphous, adjective
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World English Dictionary
homeomorphism or homoeomorphism (ˌhəʊmɪəˈmɔːfɪzəm)
1.  the property, shown by certain chemical compounds, of having the same crystal form but different chemical composition
2.  maths a one-to-one correspondence, continuous in both directions, between the points of two geometric figures or between two topological spaces
homoeomorphism or homoeomorphism
homeo'morphic or homoeomorphism
homeo'morphous or homoeomorphism
homoeo'morphic or homoeomorphism
homoeo'morphous or homoeomorphism

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American Heritage
Medical Dictionary

homeomorphous ho·me·o·mor·phous (hō'mē-ə-môr'fəs)
Having a similar shape, but not necessarily of the same composition, as of the crystal form of unlike chemical compounds.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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American Heritage
Science Dictionary
homeomorphism   (hō'mē-ə-môr'fĭz'əm)  Pronunciation Key 
  1. A close similarity in the crystal forms of unlike compounds.

  2. A one-to-one correspondence between the points of two geometric figures such that open sets in the first geometric figure correspond to open sets in the second figure and conversely. If one figure can be transformed into another without tearing or folding, there exists a homeomorphism between them. Topological properties are defined on the basis of homeomorphisms.

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Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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