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math.DS2023★ 2 cited
Transitive mappings on the Cantor fan
Iztok Banič, Goran Erceg, Judy Kennedy +2
Many continua that admit a transitive homeomorphism may be found in the literature. The circle is probably the simplest non-degenerate continuum that admits such a homeomorphism. O…
math.DS2022
Sufficient conditions for non-zero entropy and finite relations
Iztok Banic, Rene Gril Rogina, Judy Kennedy +1
We introduce the notions of returns, dispersions and well-aligned sets for closed relations on compact metric spaces and then we use them to obtain non-trivial sufficient condition…