[ hoh-mee-uh-mawr-fiz-uhm ]
/ ˌhoʊ mi əˈmɔr fɪz əm /
Save This Word!

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.
In effect, this quiz will prove whether or not you have the skills to know the difference between “affect” and “effect.”
Question 1 of 7
The rainy weather could not ________ my elated spirits on my graduation day.
Meet Grammar CoachWrite or paste your essay, email, or story into Grammar Coach and get grammar helpImprove Your Writing
Meet Grammar CoachImprove Your Writing
Write or paste your essay, email, or story into Grammar Coach and get grammar help

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. 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 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

[ 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.