On blockers in continua

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10333203" target="_blank" >RIV/00216208:11320/16:10333203 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21110/16:00302308

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.topol.2016.01.013" target="_blank" >http://dx.doi.org/10.1016/j.topol.2016.01.013</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.topol.2016.01.013" target="_blank" >10.1016/j.topol.2016.01.013</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On blockers in continua

Popis výsledku v původním jazyce

We continue in the study of blockers in continua that were first defined by Illanes and Krupski. Especially, we are dealing with the following question of these authors. For a given continuum, if each closed set that blocks any finite set also blocks any closed set, does it imply that the continuum is locally connected? We provide a negative answer by constructing a planar non-locally connected lambda-dendroid in which every closed set which blocks every finite set also blocks every closed set. On the other hand we prove that in the realm of hereditarily decomposable chainable continua or among smooth dendroids the answer is positive. Finally we compare the notion of a non-blocker with the notion of a shore set and we show that the union of finitely many mutually disjoint closed shore sets in a smooth dendroid is a shore set. This answers a question of the authors.

Název v anglickém jazyce

On blockers in continua

Popis výsledku anglicky

We continue in the study of blockers in continua that were first defined by Illanes and Krupski. Especially, we are dealing with the following question of these authors. For a given continuum, if each closed set that blocks any finite set also blocks any closed set, does it imply that the continuum is locally connected? We provide a negative answer by constructing a planar non-locally connected lambda-dendroid in which every closed set which blocks every finite set also blocks every closed set. On the other hand we prove that in the realm of hereditarily decomposable chainable continua or among smooth dendroids the answer is positive. Finally we compare the notion of a non-blocker with the notion of a shore set and we show that the union of finitely many mutually disjoint closed shore sets in a smooth dendroid is a shore set. This answers a question of the authors.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GP14-06989P" target="_blank" >GP14-06989P: Kvaziuspořádání křivek vzhledem k otevřeným, monotónním a konfluentním zobrazením</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

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

—

Svazek periodika

202

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

10

Strana od-do

346-355

Kód UT WoS článku

000372759000028

EID výsledku v databázi Scopus

2-s2.0-85000786594