[ hoh-mee-uh-mawr-fiz-uh m ]
/ ˌhoʊ mi əˈmɔr fɪz əm /


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.

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
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

British Dictionary definitions for homeomorphous



/ (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 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

Medical definitions for homeomorphous

[ hō′mē-ə-môrfəs ]


Having a similar shape, but not necessarily of the same composition, as of the crystal form of unlike chemical compounds.
The American Heritage® Stedman's Medical Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

Scientific definitions for homeomorphous

[ hō′mē-ə-môrfĭz′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.