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Continuum-Wise Expansive Homeomorphisms have Totally Disconnected Minimal Sets
Year: 2005
Abstract:
Here, we prove that any continuum-wise expansive homeomor-
phism on a compact metric space has zero-dimensional minimal sets.
As a consequence, we can say that any continuum-wise expansive
homeomorphism ...
Totally Chain Transitive of Generic Homeomorphisms are Persistence
Year: 2005
Abstract:
we prove that, given any compact metric space X,
there exists a residual subset R of H(X), the space of all home-
omorphisms on X, such that if f 2 R has a totally chain-transitive
attractor A, then ...