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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.
  • 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. (en)
Title
  • Union of shore sets in a dendroid
  • Union of shore sets in a dendroid (en)
skos:prefLabel
  • Union of shore sets in a dendroid
  • Union of shore sets in a dendroid (en)
skos:notation
  • RIV/00216208:11320/14:10146012!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, S
http://linked.open...iv/cisloPeriodika
  • 161
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 51970
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10146012
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • shore set.; planar dendroid; smooth dendroid; dendroid; continuum (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [71F18DDF440D]
http://linked.open...i/riv/nazevZdroje
  • Topology and its Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2014
http://linked.open...iv/tvurceVysledku
  • Pyrih, Pavel
  • Vejnar, Benjamin
  • Bobok, Jozef
  • Marciňa, Radek
http://linked.open...ain/vavai/riv/wos
  • 000329475900015
issn
  • 0166-8641
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.topol.2013.10.020
http://localhost/t...ganizacniJednotka
  • 11320
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