homeomorphism[hō′mē ō môr′fiz′əm]
homeomorphism definition by Webster's New World
similarity in structure and form; esp., a close similarity of crystalline forms between substances of different chemical composition
Origin: homeo- plush -morph plush -ism
Webster's New World College Dictionary Copyright © 2010 by Wiley Publishing, Inc., Cleveland, Ohio. Used by arrangement with John Wiley & Sons, Inc.
- homeomorphous adjective
homeomorphism definition by American Heritage Dictionary
The American Heritage® Dictionary of the English Language, 4th edition Copyright © 2010 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
- Chemistry A close similarity in the crystal forms of unlike compounds.
- Mathematics A continuous bijection between two figures whose inverse is also continuous.
- hoˌme·o·morˈphous adjective
homeomorphism - Science Definition
- 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.