Origin of homeomorphismhomeo- + -morph + -ism
- Chemistry A close similarity in the crystal forms of unlike compounds.
- Mathematics A continuous bijection between two topological spaces whose inverse is also continuous.
- 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.
homeo- + -morphism