# homeomorphism

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## 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.*

## 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*

## 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.*

**homeomorphism**

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

See also: Physics**homeomorphous,***adj.*Translations

**homeomorfi**

**homøomorfi**

**homeomorfismi**

**homeomorfizam**

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