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rdf:type
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Description
| - 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)
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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)
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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)
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skos:notation
| - RIV/67985840:_____/05:00026231!RIV06-AV0-67985840
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/02/0857), P(GA201/03/0933), Z(AV0Z10190503)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/67985840:_____/05:00026231
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - distributivity of Boolean algebras; cardinal invariants of the continuum; Čech-Stone compactification (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Topology and its Applications
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Balcar, Bohuslav
- Hrušák, M.
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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