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  • The G(0)-dichotomy due to Kechris, Solecki and Todorcevic characterizes the analytic relations having a Borel-measurable countable coloring. We give a version of the G(0)-dichotomy for Sigma(0)(xi)-measurable countable colorings when xi {= 3. A Sigma(0)(xi)-measurable countable coloring gives a covering of the diagonal consisting of countably many Sigma(0)(xi) squares. This leads to the study of countable unions of Sigma(0)(xi) rectangles. We also give a Hurewicz-like dichotomy for such countable unions when xi {= 2.
  • The G(0)-dichotomy due to Kechris, Solecki and Todorcevic characterizes the analytic relations having a Borel-measurable countable coloring. We give a version of the G(0)-dichotomy for Sigma(0)(xi)-measurable countable colorings when xi {= 3. A Sigma(0)(xi)-measurable countable coloring gives a covering of the diagonal consisting of countably many Sigma(0)(xi) squares. This leads to the study of countable unions of Sigma(0)(xi) rectangles. We also give a Hurewicz-like dichotomy for such countable unions when xi {= 2. (en)
Title
  • BAIRE-CLASS xi COLORINGS: THE FIRST THREE LEVELS
  • BAIRE-CLASS xi COLORINGS: THE FIRST THREE LEVELS (en)
skos:prefLabel
  • BAIRE-CLASS xi COLORINGS: THE FIRST THREE LEVELS
  • BAIRE-CLASS xi COLORINGS: THE FIRST THREE LEVELS (en)
skos:notation
  • RIV/00216208:11320/14:10284964!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, P(GA201/09/0067)
http://linked.open...iv/cisloPeriodika
  • 5
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
  • 4788
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10284964
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • product; partition; Hurewicz; dichotomy; coloring; Borel class; Borel chromatic number (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [83FB487293A7]
http://linked.open...i/riv/nazevZdroje
  • Transactions of the American Mathematical Society
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
  • 366
http://linked.open...iv/tvurceVysledku
  • Zelený, Miroslav
  • Lecomte, Dominique
http://linked.open...ain/vavai/riv/wos
  • 000333413900003
issn
  • 0002-9947
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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