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  • We compare the structure of the algebras P(.omega.)/fin and A.omega./Fin, where A denotes the algebra of clopen subsets of the Cantor set. We show that the distributivity number of the algebra A.omega./Fin is bounded by the distributivity number of the algebra P(.omega.)/fin and by the additivity of the meager ideal on the reals. As a corollary we obtain a result of A. Dow, who showed that in the iterated Mathias model the space .beta..omega./.omega. and .beta.R/R are not co-absolute. We also show that under the assumption t=h the spaces .beta..omega./.omega. and .beta.R/R are co-absolute, improving on a result of E. van Douwen.
  • We compare the structure of the algebras P(.omega.)/fin and A.omega./Fin, where A denotes the algebra of clopen subsets of the Cantor set. We show that the distributivity number of the algebra A.omega./Fin is bounded by the distributivity number of the algebra P(.omega.)/fin and by the additivity of the meager ideal on the reals. As a corollary we obtain a result of A. Dow, who showed that in the iterated Mathias model the space .beta..omega./.omega. and .beta.R/R are not co-absolute. We also show that under the assumption t=h the spaces .beta..omega./.omega. and .beta.R/R are co-absolute, improving on a result of E. van Douwen. (en)
  • Algebra regulárních otevřených podmnožin přírůstku Čech-Stoneovy kompaktifikace reálných čísel je píplnění algebry A.omega./fin, kde A značí algebru obojetných množin Cantorova diskontua. Je dokázáno, že distributivita této algebry je nejvýše rovna min.(h, add M), kde v add M značí additivita ideálu řídkých podmnožin reálných čísel. (cs)
Title
  • Distributivity of the algebra of regular open subsets of .beta. R / R
  • Distributivita algebry regulárních otevřených podmnožin .beta. R / R (cs)
  • Distributivity of the algebra of regular open subsets of .beta. R / R (en)
skos:prefLabel
  • Distributivity of the algebra of regular open subsets of .beta. R / R
  • Distributivita algebry regulárních otevřených podmnožin .beta. R / R (cs)
  • Distributivity of the algebra of regular open subsets of .beta. R / R (en)
skos:notation
  • RIV/67985840:_____/05:00026231!RIV06-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 1;7
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/02/0857), P(GA201/03/0933), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 518391
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  • RIV/67985840:_____/05:00026231
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  • distributivity of Boolean algebras; cardinal invariants of the continuum; Čech-Stone compactification (en)
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http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [341192D0099D]
http://linked.open...i/riv/nazevZdroje
  • Topology and its Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...v/svazekPeriodika
  • 149
http://linked.open...iv/tvurceVysledku
  • Balcar, Bohuslav
  • Hrušák, M.
http://linked.open...n/vavai/riv/zamer
issn
  • 0166-8641
number of pages
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