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Description
  • We present a topological characterization of the Sierpiński triangle. This answers question 58 from the Problem book of the Open Problem Seminar held at Charles University. In fact we give a characterization of the Apollonian gasket first. Consequently we show that any subcontinuum of the Apollonian gasket, whose boundary consists of three points, is homeomorphic to the Sierpiński triangle.
  • We present a topological characterization of the Sierpiński triangle. This answers question 58 from the Problem book of the Open Problem Seminar held at Charles University. In fact we give a characterization of the Apollonian gasket first. Consequently we show that any subcontinuum of the Apollonian gasket, whose boundary consists of three points, is homeomorphic to the Sierpiński triangle. (en)
Title
  • A topological characterization of the Sierpinski triangle
  • A topological characterization of the Sierpinski triangle (en)
skos:prefLabel
  • A topological characterization of the Sierpinski triangle
  • A topological characterization of the Sierpinski triangle (en)
skos:notation
  • RIV/00216208:11320/12:10103610!RIV13-MSM-11320___
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  • 5
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  • 120703
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  • RIV/00216208:11320/12:10103610
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  • topological characterization; Sierpiński triangle; continuum (en)
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  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [1A185F49B64B]
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  • Topology and its Applications
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  • 159
http://linked.open...iv/tvurceVysledku
  • Vejnar, Benjamin
issn
  • 0166-8641
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.topol.2011.12.019
http://localhost/t...ganizacniJednotka
  • 11320
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