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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F14%3A10284964%21RIV15-MSM-11320___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
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.
dcterms:title
BAIRE-CLASS xi COLORINGS: THE FIRST THREE LEVELS BAIRE-CLASS xi COLORINGS: THE FIRST THREE LEVELS
skos:prefLabel
BAIRE-CLASS xi COLORINGS: THE FIRST THREE LEVELS BAIRE-CLASS xi COLORINGS: THE FIRST THREE LEVELS
skos:notation
RIV/00216208:11320/14:10284964!RIV15-MSM-11320___
n3:aktivita
n4:P n4:I
n3:aktivity
I, P(GA201/09/0067)
n3:cisloPeriodika
5
n3:dodaniDat
n12:2015
n3:domaciTvurceVysledku
n17:7213409
n3:druhVysledku
n5:J
n3:duvernostUdaju
n7:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
4788
n3:idVysledku
RIV/00216208:11320/14:10284964
n3:jazykVysledku
n14:eng
n3:klicovaSlova
product; partition; Hurewicz; dichotomy; coloring; Borel class; Borel chromatic number
n3:klicoveSlovo
n6:coloring n6:Hurewicz n6:dichotomy n6:product n6:partition n6:Borel%20chromatic%20number n6:Borel%20class
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[83FB487293A7]
n3:nazevZdroje
Transactions of the American Mathematical Society
n3:obor
n11:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n10:GA201%2F09%2F0067
n3:rokUplatneniVysledku
n12:2014
n3:svazekPeriodika
366
n3:tvurceVysledku
Zelený, Miroslav Lecomte, Dominique
n3:wos
000333413900003
s:issn
0002-9947
s:numberOfPages
29
n15:organizacniJednotka
11320