[ hoh-mee-uh-mawr-fiz-uhm ]
/ ˌhoʊ mi əˈmɔr fɪz əm /
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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.
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Also called topological transformation.
OTHER WORDS FROM homeomorphismho·me·o·mor·phic, ho·me·o·mor·phous, adjective
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022
British Dictionary definitions for homeomorphism
/ (ˌhəʊmɪəˈmɔːfɪzəm) /
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 homeomorphismhomeomorphic, homeomorphous, homoeomorphic or homoeomorphous, adjective
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Scientific definitions for 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.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.