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Description
  • Zabýváme se otázkou, které kompaktní konvexní množiny jsou homeomorfní svému součinu s jednotkovým intervalem. Dokazujeme, že to platí například pro prostor pravděpodobností na nekonečném řídce rozloženém kompaktním prostoru a pro polokouli neseparabilního Hilbertova prostoru se slabou topologií. Dále uvádíme příklady kompatních konvexních množin, pro něž to neplatí. (cs)
  • We investigate the question which compact convex sets are homeomorphic to their product with the unit interval. We prove it in particular for the space of probability measures on any infinite scattered compact space and for the half-ball of a nonseparable Hilbert space equipped with the weak topology. We also show examples of convex compact spaces for which it is not the case.
  • We investigate the question which compact convex sets are homeomorphic to their product with the unit interval. We prove it in particular for the space of probability measures on any infinite scattered compact space and for the half-ball of a nonseparable Hilbert space equipped with the weak topology. We also show examples of convex compact spaces for which it is not the case. (en)
Title
  • On products with the unit interval
  • O součinech s jednotkovým intervalem (cs)
  • On products with the unit interval (en)
skos:prefLabel
  • On products with the unit interval
  • O součinech s jednotkovým intervalem (cs)
  • On products with the unit interval (en)
skos:notation
  • RIV/00216208:11320/08:00100009!RIV09-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/06/0018), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 10
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
  • 384654
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/08:00100009
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • products; interval (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [672A35EE022B]
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...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 155
http://linked.open...iv/tvurceVysledku
  • Kalenda, Ondřej
http://linked.open...ain/vavai/riv/wos
  • 000256405000006
http://linked.open...n/vavai/riv/zamer
issn
  • 0166-8641
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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