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homeomorphous

 - 5 dictionary results

ho⋅me⋅o⋅mor⋅phism

  [hoh-mee-uh-mawr-fiz-uhm]
Use homeomorphous 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 homeomorphous
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 figures whose inverse is also continuous.

ho'me·o·mor'phous adj.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Medical Dictionary

Main Entry: ho·meo·mor·phous
Variant: or British ho·moeo·mor·phous /"hO-mE-&-'mor-f&s/
Function:adjective
: being alike in size and shape <homeomorphous hooks on a tapeworm>
Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc.
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Medical Dictionary

homeomorphous ho·me·o·mor·phous (hō'mē-ə-môr'fəs)
adj.
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.
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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.
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