Union of Shore Sets in a Dendroid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F14%3A00215347" target="_blank" >RIV/68407700:21110/14:00215347 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/14:10146012
Result on the web
<a href="http://dx.doi.org/10.1016/j.topol.2013.10.020" target="_blank" >http://dx.doi.org/10.1016/j.topol.2013.10.020</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2013.10.020" target="_blank" >10.1016/j.topol.2013.10.020</a>

Result language
angličtina
Original language name
Union of Shore Sets in a Dendroid
Original language description
A subset of a dendroid is called a shore set if there is a sequence of subcontinua disjoint with the given set which converges to the whole continuum. We are dealing with the question when the union of finitely many shore sets is a shore set. We give a positive answer in the case of planar smooth dendroids and closed disjoint shore sets and we present a simple example of a planar dendroid in which the union of two disjoint closed shore sets is not a shore set. The second result answers a question of A.Illanes. Finally, we show that the union of a shore point and a closed shore set in a dendroid need not to be a shore set but we prove a positive result in the case of a planar dendroid.
Czech name
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Czech description
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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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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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