On blockers in continua
The result's identifiers
Result code in 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>
Alternative codes found
RIV/68407700:21110/16:00302308
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
On blockers in continua
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GP14-06989P" target="_blank" >GP14-06989P: Quasiorder of curves with respect to open, monotone and confluent mappings</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Topology and its Applications
ISSN
0166-8641
e-ISSN
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Volume of the periodical
202
Issue of the periodical within the volume
2
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
346-355
UT code for WoS article
000372759000028
EID of the result in the Scopus database
2-s2.0-85000786594