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Description
| - For interval maps and also for graph maps, every omega-limit set is a subset of a maximal one. In this note we construct a continuous map on a dendrite with no maximal omega-limit set. Moreover, the set of branch points is nowhere dense, every omega-limit set of the map is nowhere dense, the set of periodic points and the set of recurrent points are equal and the set of omega-limit points is not closed (an example with the last property was constructed by the authors already in [Kocan Z, Kornecka-Kurkova V, Malek M. On the centre and the set of omega-limit points of continuous maps on dendrites. Topol Appl 2009; 156: 2923-2931]).
- For interval maps and also for graph maps, every omega-limit set is a subset of a maximal one. In this note we construct a continuous map on a dendrite with no maximal omega-limit set. Moreover, the set of branch points is nowhere dense, every omega-limit set of the map is nowhere dense, the set of periodic points and the set of recurrent points are equal and the set of omega-limit points is not closed (an example with the last property was constructed by the authors already in [Kocan Z, Kornecka-Kurkova V, Malek M. On the centre and the set of omega-limit points of continuous maps on dendrites. Topol Appl 2009; 156: 2923-2931]). (en)
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Title
| - On the existence of maximal omega-limit sets for dendrite maps
- On the existence of maximal omega-limit sets for dendrite maps (en)
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skos:prefLabel
| - On the existence of maximal omega-limit sets for dendrite maps
- On the existence of maximal omega-limit sets for dendrite maps (en)
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skos:notation
| - RIV/47813059:19610/12:#0000354!RIV13-GA0-19610___
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GAP201/10/0887), Z(MSM4781305904)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/47813059:19610/12:#0000354
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Maximal omega-limit set; Graph; Dendrite (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Communications in Nonlinear Science and Numerical Simulation
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Kočan, Zdeněk
- Málek, Michal
- Kurková, Veronika
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http://linked.open...ain/vavai/riv/wos
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1016/j.cnsns.2011.12.022
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http://localhost/t...ganizacniJednotka
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is http://linked.open...avai/riv/vysledek
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