Author:
BOROŃSKI JAN P.,KUPKA JIŘÍ,OPROCHA PIOTR
Abstract
We prove that there exists a topologically mixing homeomorphism which is completely scrambled. We also prove that, for any integer $n\geq 1$, there is a continuum of topological dimension $n$ supporting a transitive completely scrambled homeomorphism and an $n$-dimensional compactum supporting a weakly mixing completely scrambled homeomorphism. This solves a 15-year-old open problem.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Cited by
4 articles.
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