homeomorphism

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ho·me·o·mor·phism

 (hō′mē-ə-môr′fĭz′əm)
n.
1. Chemistry A close similarity in the crystal forms of unlike compounds.
2. Mathematics A continuous bijection between two topological spaces whose inverse is also continuous.

ho′me·o·mor′phic adj.

homeomorphism

(ˌhəʊmɪəˈmɔːfɪzəm) or

homoeomorphism

n
1. (Chemistry) the property, shown by certain chemical compounds, of having the same crystal form but different chemical composition
2. (Mathematics) maths a one-to-one correspondence, continuous in both directions, between the points of two geometric figures or between two topological spaces
ˌhomeoˈmorphic, ˌhomeoˈmorphous, ˌhomoeoˈmorphic, ˌhomoeoˈmorphous adj

ho•me•o•mor•phism

(ˌhoʊ mi əˈmɔr fɪz əm)

n.
a mathematical function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous.
[1850–55]
ho`me•o•mor′phic, ho`me•o•mor′phous, adj.

homeomorphism

the similarity of the crystalline forms of substances that have different chemical compositions. — homeomorphous, adj.
See also: Physics
Translations
homeomorfihomøomorfi
homeomorfismi
homeomorfizam
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References in periodicals archive ?
For example, if A = {a, b}, then |K(A) | is homeomorphic to a circle:
After the opportunistic strategy conducted by Soaresirhynchia bouchardi the distribution of the post-ETMEE brachiopod assemblages is markedly influenced by the depositional sequences, entailing premature turnovers and involving the earlier record of homeomorphic morphotypes of younger terebratulides and rhynchonellides.
In addressing the issue of object alterity, Law stresses that "[t]opology generates spaces by creating rules about what will count as homeomorphic objects and there is no limit to the possible rules and spaces" (2002: 102).
That is, a property of SBT spaces is a SBT property if whenever a SBT space possesses that property every space SBT homeomorphic to this space possesses that property.
Lemma 25 semi homeomorphic image of a semi connected space is semi connected.
Closely related, and in fact locally homeomorphic, are deformation spaces of locally homogeneous geometric structures.
2] are combinatorially homeomorphic if there are elementary subdivisions of [C.
The column is homeomorphic, with no radices or radice sockets and no obviously distinguishable nodals or internodals.
More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n.
2]: any homogeneous space is homeomorphic to some set of points of real Hilbert space.
Not so much mirror images as "obverse" sides of a non-orientable surface, word and world are connected by a homeomorphic equivalence, where previous divisions of interior and exterior are re-marked as a fold.
In other words, it should replace all the homeomorphic equivalents and represent a fulcrum of a fair social order.