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rdf:type
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Description
| - A metric space $(X,d)$ is \\emph{monotone} if there is a linear order $<$ on $X$ and a constant $c$ such that $d(x,y)\\leq c\\,d(x,z)$ for all $x<y<z$ in $X$, and \\si monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not \\si monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not \\si monotone.
- A metric space $(X,d)$ is \\emph{monotone} if there is a linear order $<$ on $X$ and a constant $c$ such that $d(x,y)\\leq c\\,d(x,z)$ for all $x<y<z$ in $X$, and \\si monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not \\si monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not \\si monotone. (en)
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Title
| - A Cantor set in the plane that is not $\\sigma$-monotone
- A Cantor set in the plane that is not $\\sigma$-monotone (en)
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skos:prefLabel
| - A Cantor set in the plane that is not $\\sigma$-monotone
- A Cantor set in the plane that is not $\\sigma$-monotone (en)
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skos:notation
| - RIV/68407700:21110/11:00187540!RIV12-MSM-21110___
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - Z(MSM6840770006), Z(MSM6840770010)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/68407700:21110/11:00187540
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Monotone metric space, Cantor set, Hausdorff measure, Hausdorff dimension (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Nekvinda, Aleš
- Zindulka, Ondřej
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http://linked.open...ain/vavai/riv/wos
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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is http://linked.open...avai/riv/vysledek
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