homeomorphism

[ hoh-mee-uh-mawr-fiz-uhm ]

/ 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, adjective

Words nearby homeomorphism

homeobox gene, home office, Home of the Hirsel, homeometric autoregulation, homeomorph, homeomorphism, homeomorphous, “Home on the Range”, homeopathic, homeopathist, homeopathy

Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020

British Dictionary definitions for homeomorphism

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, 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

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.

单词	homeomorphism
释义	homeomorphism [ hoh-mee-uh-mawr-fiz-uhm ] / 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, adjective Words nearby homeomorphism homeobox gene, home office, Home of the Hirsel, homeometric autoregulation, homeomorph, homeomorphism, homeomorphous, “Home on the Range”, homeopathic, homeopathist, homeopathy Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020 British Dictionary definitions for homeomorphism 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, 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 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.
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