Examples of homeomorphism

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We then investigate more closely the relation between deformations of patterns and homeomorphism or topological conjugacy of pattern spaces.
For substitution minimal systems, flow equivalence is equivalent to the existence of an orientation preserving homeomorphism of the associated tiling spaces.
Since y and 0 are absolutely continuous, the map v (which is a homeomorphism onto its image) preserves the sets of measure zero.
Then g is also almost one-to-one, and it suffices to show that g is a homeomorphism.
We do not know if there is a transitive, completely scrambled homeomorphism.
In particular, if f is light then it is a homeomorphism.
But the only finite-order orientation-preserving homeomorphism of an interval is the identity.
Note that every conformal homeomorphism is 1-qc.
Using this flexibility one easily sees that is additive and hence defines a group homeomorphism.
One hopes that the rotation set contains information about the dynamics of the homeomorphism, and especially about the existence of periodic points.
In topological dynamics such a restriction is usually the assumption that the map is a homeomorphism.
Moreover, this homeomorphism is unique among the homeomorphisms which are homotopic to identity.
Periodic points for an orientation preserving homeomorphism of the plane near an invariant immersed line.
It follows from invariance of domain that is a local homeomorphism.
We will associate with any generalized polytope exchange a homeomorphism of a compact space.
Two operators are isomorphic if the relevant factor map is a homeomorphism.

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