About: On the existence of maximal omega-limit sets for dendrite maps

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.sciencedirect.com/science/article/pii/S100757041100699X
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)
Title	On the existence of maximal omega-limit sets for dendrite maps On the existence of maximal omega-limit sets for dendrite maps (en)
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)
skos:notation	RIV/47813059:19610/12:#0000354!RIV13-GA0-19610___
http://linked.open...avai/predkladatel	Matematický ústav v Opavě
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP201/10/0887), Z(MSM4781305904)
http://linked.open...iv/cisloPeriodika	8
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Kornecká-Kurková, Veronika Kočan, Zdeněk Málek, Michal
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Slezská univerzita v Opavě / Matematický ústav v Opavě
http://linked.open...dnocenehoVysledku	156396
http://linked.open...ai/riv/idVysledku	RIV/47813059:19610/12:#0000354
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Maximal omega-limit set; Graph; Dendrite (en)
http://linked.open.../riv/klicoveSlovo	Graph Dendrite Maximal omega-limit set
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[4CE5860E8CB5]
http://linked.open...i/riv/nazevZdroje	Communications in Nonlinear Science and Numerical Simulation
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Discrete dynamical systems
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	17
http://linked.open...iv/tvurceVysledku	Kočan, Zdeněk Málek, Michal Kurková, Veronika
http://linked.open...ain/vavai/riv/wos	000302619600007
http://linked.open...n/vavai/riv/zamer	Topological and analytical methods in the theory of dynamical systems and mathematical physics
issn	1007-5704
number of pages	8 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cnsns.2011.12.022
http://localhost/t...ganizacniJednotka	19610
is http://linked.open...avai/riv/vysledek of	On the existence of maximal omega-limit sets for dendrite maps

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