homeomorphism

[ hoh-mee-uh-mawr-fiz-uh m ]
/ 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.

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CHALLENGE YOURSELF WITH THIS MIDDLE SCHOOL PART OF SPEECH QUIZ!

How well do you know your adjectives from your adverbs? Your preposition from your pronouns? Your interjections from your conjunctions? Let’s put your knowledge of parts of speech to the text! Note: Many of the following questions will ask you to identify the parts of speech “in order.” That means the first word in all capital letters will correspond to the first option in an answer, and so on.
Question 1 of 10
In order, what parts of speech are the words in all capital letters? Alisa was VERY tired, SO she decided to go to bed.

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. 2020

British Dictionary definitions for homeomorphic

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 homeomorphic

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.