About: Complete ccc Boolean algebras, the order sequential topology, and a problem of von Neumann

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	John von Neumann posed the quetion whether every weakly distributive ccc Boolean algebra have to be a measure algebra. Dorothy Maharam modified the question to submeasurability of the algebra and showed the considtency of negative answer. The article showes the consistency of positive answer, which proves that the assertion is independent on ZFC. There are also several topological reformulations of weak distributivity, a characterization of adding independent reals and some examples. John von Neumann posed the quetion whether every weakly distributive ccc Boolean algebra have to be a measure algebra. Dorothy Maharam modified the question to submeasurability of the algebra and showed the considtency of negative answer. The article showes the consistency of positive answer, which proves that the assertion is independent on ZFC. There are also several topological reformulations of weak distributivity, a characterization of adding independent reals and some examples. (en) Clanek obsahuje reseni modifikovane verze von Neumannova-Maharamove problemu z roku 1946. (cs)
Title	Complete ccc Boolean algebras, the order sequential topology, and a problem of von Neumann Uplne Booleovy algebry, sekvencialni topologie a von Neumannuv problem (cs) Complete ccc Boolean algebras, the order sequential topology, and a problem of von Neumann (en)
skos:prefLabel	Complete ccc Boolean algebras, the order sequential topology, and a problem of von Neumann Uplne Booleovy algebry, sekvencialni topologie a von Neumannuv problem (cs) Complete ccc Boolean algebras, the order sequential topology, and a problem of von Neumann (en)
skos:notation	RIV/67985556:_____/05:00031419!RIV07-AV0-67985556
http://linked.open.../vavai/riv/strany	885;898
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/02/0857), P(GA201/03/0933), Z(AV0Z10190503), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2007
http://linked.open...aciTvurceVysledku	Pazák, Tomáš
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	515977
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/05:00031419
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Boolean algebras; Maharam submeasure; weak distributivity; independent reals (en)
http://linked.open.../riv/klicoveSlovo	Boolean algebras weak distributivity Maharam submeasure independent reals
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[A39CD0530FC1]
http://linked.open...i/riv/nazevZdroje	Bulletin of the London Mathematical Society
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Set theory and mathematical logic Set-theoretical and categorial methods in topological and algebraic structures
http://linked.open...UplatneniVysledku	2005
http://linked.open...v/svazekPeriodika	37
http://linked.open...iv/tvurceVysledku	Pazák, Tomáš Balcar, Bohuslav Jech, Thomas
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	0024-6093
number of pages	14 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Complete ccc Boolean algebras, the order sequential topology, and a problem of von Neumann

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