Meaning of homeomorphism

ho•me•o•mor•phism

Pronunciation: (hō"mē-u-môr'fiz-um), [key]
— n.
  1. similarity in crystalline form but not necessarily in chemical composition.
  2. a function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous. Also called
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.