homeomorphism
[ hoh-mee-uh-mawr-fiz-uh m ]
/ ˌhoʊ mi əˈmɔr fɪz əm /
noun
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.
Also called
topological transformation.
Origin of homeomorphism
First recorded in 1850–55;
homeomorph +
-ism
OTHER WORDS FROM homeomorphism
ho·me·o·mor·phic, ho·me·o·mor·phous, adjectiveWords nearby homeomorphism
homeo-,
homeobox,
homeobox gene,
homeometric autoregulation,
homeomorph,
homeomorphism,
homeomorphous,
homeopathic,
homeopathic magic,
homeopathist,
homeopathy
British Dictionary definitions for homeomorphous
homeomorphism
homoeomorphism
/ (ˌhəʊmɪəˈmɔːfɪzəm) /
noun
the property, shown by certain chemical compounds, of having the same crystal form but different chemical composition
maths
a one-to-one correspondence, continuous in both directions, between the points of two geometric figures or between two topological spaces
Derived forms of homeomorphism
homeomorphic, homeomorphous, homoeomorphic or homoeomorphous, adjectiveMedical definitions for homeomorphous
homeomorphous
[ hō′mē-ə-môr′fəs ]
adj.
Having a similar shape, but not necessarily of the same composition, as of the crystal form of unlike chemical compounds.
Scientific definitions for homeomorphous
homeomorphism
[ hō′mē-ə-môr′fĭz′əm ]
A close similarity in the crystal forms of unlike compounds.
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.