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What does homeomorphism mean?

Looking for the meaning or definition of the word homeomorphism? Here's what it means.

Noun
  1. (topology) a continuous bijection from one topological space to another, with continuous inverse.
  2. (chemistry) a similarity in the crystal structure of unrelated compounds
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Examples
A topological property is defined to be a property that is preserved under a homeomorphism.
If this homeomorphism is not Identical transformation, then R will represent a non-Euclidean space.
A homeomorphism, also known as a topological isomorphism, is the most basic space of this kind, revealing a continuous inverse function.
We also recall classical homeomorphism results between probability spaces and the basic model infinite dimensional manifolds.
Sundaram studied generalized continuous functions and generalized homeomorphism.
We prove that it is not possible to extend, in a homomorphic fashion, each quasisymmetric homeomorphism of the circle to a quasiconformal homeomorphism of the disk.

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