Czasopismo
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Abstrakty
We give two examples of tent maps with uncountable (as it happens, post-critical) ω-limit sets, which have isolated points, with interesting structures. Such ω-limit sets must be of the form C ∪ R, where C is a Cantor set and R is a scattered set. Firstly, it is known that there is a restriction on the topological structure of countable ω-limit sets for finite-to-one maps satisfying at least some weak form of expansivity. We show that this restriction does not hold if the ω-limit set is uncountable. Secondly, we give an example of an ω-limit set of the form C ∪ R for which the Cantor set C is minimal.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
179-189
Opis fizyczny
Daty
wydano
2009
Twórcy
autor
- School of Mathematics and Statistics, University of Birmingham, Birmingham, B15 2TT, UK
autor
- Department of Mathematics, Baylor University, Waco, TX 76798-7328, U.S.A.
autor
- Mathematical Institute, University of Oxford, Oxford, OX1 3LB, UK
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-fm205-2-6