homeomorphism

(redirected from Self-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 ?
Imagine [D.sub.1] and [D.sub.2] to be "small and close together" on bd(X), as indeed they can be made to be by a self-homeomorphism of X.
For Case 6, one can choose a self-homeomorphism (see section 4.1 and section 6.4) of type (II), (III') with r = [epsilon] = 1, s = 0, b = -1so that N(f) = 2 = [absolute value of (L(f))] but R(f) = [infinity].
If G is a group, any monoid map [[zeta].sub.X] : G [right arrow] haut(X) factors through the submonoid Aut(X) of invertible elements (self-homeomorphisms) in haut(X), so it makes X into a G-space, equipped with a continuous G-action.