homeomorphism(redirected from Homeomorphism group)
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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.
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)
a mathematical function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous.
ho`me•o•mor′phic, ho`me•o•mor′phous, adj.
the similarity of the crystalline forms of substances that have different chemical compositions. — homeomorphous, adj.See also: Physics