Dictionary
Thesaurus
Encyclopedia
Translator
Web
Nearby Words

homeomorphic

 - 2 dictionary results

ho⋅me⋅o⋅mor⋅phism

  [hoh-mee-uh-mawr-fiz-uhm]
Use homeomorphic in a Sentence
–noun
1. similarity in crystalline form but not necessarily in chemical composition.
2. Mathematics. a function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous.
Also called topological transformation.

Origin:
1850–55; homeomorph + -ism

Related forms:
ho⋅me⋅o⋅mor⋅phic, ho⋅me⋅o⋅mor⋅phous, adjective
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
Cite This Source Link To homeomorphic
Science Dictionary
homeomorphism   (hō'mē-ə-môr'fĭz'əm)  Pronunciation Key 

  1. A close similarity in the crystal forms of unlike compounds.

  2. 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 © 2002. Published by Houghton Mifflin. All rights reserved.
Cite This Source
Search another word or see homeomorphic on Thesaurus | Reference
FacebookTwitterFollow us:
Partner Sites:
Ask AnswersEviteExpediaHotelsHotwireLife123LiveDailyMy Way