Birkhoff centre and backward limit points

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F23%3AA0000143" target="_blank" >RIV/47813059:19610/23:A0000143 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0166864122003406" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0166864122003406</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.topol.2022.108338" target="_blank" >10.1016/j.topol.2022.108338</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Birkhoff centre and backward limit points

Popis výsledku v původním jazyce

We suggest one complete and one partial solution to the selected problems presented in the recently published article On Backward Attractors of Interval Maps(Hantakova and Roth (2021) [15]). Specifically we prove a conjecture proposing a characterisation of sets of ss-limit points (i.e. limit points of all accumulation points of backward orbit branches of a specific point) for graph maps. We show that ss-limit sets coincide with Birkhoff centre <(Rec(f))over bar> and that the condition for a point to belong to its ss-limit set is equivalent to belonging to the ss-limit set of an other point. In the second part of the paper we deal with genericity of having all s alpha-limit sets closed and we prove that maps with not all s alpha-limit sets closed are dense in C-0([0,1]), which partially solves an open problem also suggested in the aforementioned article.

Název v anglickém jazyce

Birkhoff centre and backward limit points

Popis výsledku anglicky

We suggest one complete and one partial solution to the selected problems presented in the recently published article On Backward Attractors of Interval Maps(Hantakova and Roth (2021) [15]). Specifically we prove a conjecture proposing a characterisation of sets of ss-limit points (i.e. limit points of all accumulation points of backward orbit branches of a specific point) for graph maps. We show that ss-limit sets coincide with Birkhoff centre <(Rec(f))over bar> and that the condition for a point to belong to its ss-limit set is equivalent to belonging to the ss-limit set of an other point. In the second part of the paper we deal with genericity of having all s alpha-limit sets closed and we prove that maps with not all s alpha-limit sets closed are dense in C-0([0,1]), which partially solves an open problem also suggested in the aforementioned article.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Topology and its Applications

ISSN

0166-8641

e-ISSN

1879-3207

Svazek periodika

324

Číslo periodika v rámci svazku

february

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

7

Strana od-do

„108338-1“-„108338-7“

Kód UT WoS článku

000928174900004

EID výsledku v databázi Scopus

2-s2.0-85143316348