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 ?
with the following property is given: for [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], if there exists a homeomorphism [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
A mapping f : X [right arrow] Y is said to be a neutrosophic homeomorphism if f is bijective, neutrosophic continuous and neutrosophic open.
The study of partial dynamical systems, that is, dynamical systems originating from the action of a partially defined homeomorphism on a topological space, was benefited strongly from the theory of partial group actions and partial crossed products; the most influential article in this direction is due to Exel, Laca and Quigg [45].
This homeomorphism agrees with the aforementioned strong influence of the depositional sequences in the basin, as S.
0, +[infinity]) The nonlinear derivation operator is represented by an increasing homeomorphism [phi]: E [right arrow] E satisfying [phi]([theta]) = [theta] and such that [phi] is expansive, i.
Moreover, I define SBT property and hereditary SBT by SBT homeomorphism and investigate the relations between these concepts.
Keywords: Semi open set, semi closed set, irresolute mapping, semi homeomorphism, irresolute topological group, semi connected space, semi component, semi topological groups with respect to irresoluteness.
Many kinds of graph and sub graph queries like isomorphism, homomorphism, and homeomorphism which are difficult to handle in traditional data models reported in Jagadish and Olken (2006).
If this homeomorphism is not Identical transformation, then R will represent a non-Euclidean space.
k] such that there is a homeomorphism [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] mapping the diagonal Ti to the edge with weight [x.
Sundaram studied generalized continuous functions and generalized homeomorphism.