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  • We study compactifications of a ray with remainder a simple closed curve. We give necessary and sufficient conditions for the existence of a bijective (resp. surjective) mapping between two such continua. Using those conditions we present a simple proof of the existence of an uncountable family of plane continua no one of which can be continuously mapped onto any other (the first such family, so called Waraszkiewicz's spirals, was created by Z. Waraszkiewicz in the 1930's).
  • We study compactifications of a ray with remainder a simple closed curve. We give necessary and sufficient conditions for the existence of a bijective (resp. surjective) mapping between two such continua. Using those conditions we present a simple proof of the existence of an uncountable family of plane continua no one of which can be continuously mapped onto any other (the first such family, so called Waraszkiewicz's spirals, was created by Z. Waraszkiewicz in the 1930's). (en)
Title
  • Waraszkiewicz spirals revisited
  • Waraszkiewicz spirals revisited (en)
skos:prefLabel
  • Waraszkiewicz spirals revisited
  • Waraszkiewicz spirals revisited (en)
skos:notation
  • RIV/00216208:11320/12:10128924!RIV13-MSM-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 180704
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/12:10128924
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • uncomparable continua; compactification; Waraszkiewicz's spirals (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [4A0D87854AB4]
http://linked.open...i/riv/nazevZdroje
  • Fundamenta Mathematicae
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 219
http://linked.open...iv/tvurceVysledku
  • Pyrih, Pavel
  • Vejnar, Benjamin
http://linked.open...n/vavai/riv/zamer
issn
  • 0016-2736
number of pages
http://bibframe.org/vocab/doi
  • 10.4064/fm219-2-1
http://localhost/t...ganizacniJednotka
  • 11320
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