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  • In this paper we extend results of Blokh, Bruckner, Humke and Sm\'{\i }tal [Trans. Amer. Math. Soc. {348} (1996), 1357--1372] about characterization of $\omega $-limit sets from the class $\Cal C(I,I)$ of continuous maps of the interval to the class $\Cal C(\Bbb S,\Bbb S)$ of continuous maps of the circle. Among others we give geometric characterization of $\omega $-limit sets and then we prove that the family of $\omega $-limit sets is closed with respect to the Hausdorff metric.
  • In this paper we extend results of Blokh, Bruckner, Humke and Sm\'{\i }tal [Trans. Amer. Math. Soc. {348} (1996), 1357--1372] about characterization of $\omega $-limit sets from the class $\Cal C(I,I)$ of continuous maps of the interval to the class $\Cal C(\Bbb S,\Bbb S)$ of continuous maps of the circle. Among others we give geometric characterization of $\omega $-limit sets and then we prove that the family of $\omega $-limit sets is closed with respect to the Hausdorff metric. (en)
Title
  • Characterization of $\omega$-limit sets of continuous maps of the circle
  • Characterization of $\omega$-limit sets of continuous maps of the circle (en)
skos:prefLabel
  • Characterization of $\omega$-limit sets of continuous maps of the circle
  • Characterization of $\omega$-limit sets of continuous maps of the circle (en)
skos:notation
  • RIV/47813059:19610/02:00000124!RIV/2004/MSM/196104/N
http://linked.open.../vavai/riv/strany
  • 575;58
http://linked.open...avai/riv/aktivita
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  • P(GA201/00/0859), Z(MSM 192400002)
http://linked.open...iv/cisloPeriodika
  • 3
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  • 640641
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  • RIV/47813059:19610/02:00000124
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  • dynamical system; circle map; $\omega $-limit s (en)
http://linked.open.../riv/klicoveSlovo
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  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [82B743ED59E7]
http://linked.open...i/riv/nazevZdroje
  • Commentationes Mathematicae Universitatis Carolinae
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 43
http://linked.open...iv/tvurceVysledku
  • Pokluda, David
http://linked.open...n/vavai/riv/zamer
issn
  • 0010-2628
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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