# homeomorphism

(redirected from*Topological isomorphism*)

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Related to Topological isomorphism: homeomorphic spaces

## 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.*

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## 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*

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## 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.*

Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

**homeomorphism**

the similarity of the crystalline forms of substances that have different chemical compositions. —

See also: Physics**homeomorphous,***adj.*-Ologies & -Isms. Copyright 2008 The Gale Group, Inc. All rights reserved.

Translations

**homeomorfi**

**homøomorfi**

**homeomorfismi**

**homeomorfizam**

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