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Description
  • We show that a comeager coanalytic hereditary family of compact sets must have a dense G-delta subfamily which is also hereditary. Using this, we prove an ``abstract'' result which implies the existence of independent M_0 sets and the meagerness of U_0-sets with the property of Baire.
  • We show that a comeager coanalytic hereditary family of compact sets must have a dense G-delta subfamily which is also hereditary. Using this, we prove an ``abstract'' result which implies the existence of independent M_0 sets and the meagerness of U_0-sets with the property of Baire. (en)
  • Je ukázáno, že residuální koanalytický dědičný systém kompaktních množin obsahuje G-delta hustou dědičnou podmnožinu. Užitím tohoto výsledku je pak dokázána abstraktní věta, která implikuje existenci nezávislých M_0-množin a výsledek, že U_0 množiny s Baireovou vlastností jsou první kategorie. (cs)
Title
  • Rudin-like sets and hereditary families of compact sets
  • Množiny Rudinova typu a dědičné systémy kompaktních množin (cs)
  • Rudin-like sets and hereditary families of compact sets (en)
skos:prefLabel
  • Rudin-like sets and hereditary families of compact sets
  • Množiny Rudinova typu a dědičné systémy kompaktních množin (cs)
  • Rudin-like sets and hereditary families of compact sets (en)
skos:notation
  • RIV/00216208:11320/05:00000925!RIV06-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 97;116
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0931), 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
  • 541715
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/05:00000925
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Rudin-like; hereditary; families; compact; sets (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [61764F976C5D]
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...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 185
http://linked.open...iv/tvurceVysledku
  • Zelený, Miroslav
http://linked.open...n/vavai/riv/zamer
issn
  • 0016-2736
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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