3 citations · 17 across the 17 of their papers we have counts for
6 papers · 1 filter
Chaos and mixing homeomorphisms on fans
Iztok Banic, Goran Erceg, Judy Kennedy +2
We construct a mixing homeomorphism on the Lelek fan. We also construct a mixing homeomorphism on the Cantor fan. Then, we construct a family of uncountably many pairwise non-homeo…
An uncountable family of non-smooth fans that admit transitive homeomorphisms
Iztok Banic, Judy Kennedy, Chris Mouron +1
Recently, many examples of smooth fans that admit a transitive homeomorphism have been constructed. For example, a family of uncountably many pairwise non-homeomorphic smooth fans…
Quotients of dynamical systems and chaos on the Cantor fan
Iztok Banic, Goran Erceg, Judy Kennedy +1
Let be a dynamical system. Using an equivalence relation on , we introduce the quotient of the dynamical system . In the first part…
An uncountable family of smooth fans that admit transitive homeomorphisms
Iztok Banic, Goran Erceg, Judy Kennedy +2
We construct a family of uncountably many pairwise non-homeomorphic smooth fans that admit transitive homeomorphisms. In addition, we show that the star of Cantor fans admits a tra…
An embedding of the Cantor fan into the Lelek fan
Iztok Banič, Goran Erceg, Judy Kennedy
The Lelek fan is usually constructed as a subcontinuum of the Cantor fan in such a way that the set of the end-points of is dense in . It easily follows that the Lelek f…
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…