bibtype	J - Journal Article
ARLID	0031419
utime	20241111130356.2
mtime	20060323235959.9
title (primary) (eng)	Complete ccc Boolean algebras, the order sequential topology, and a problem of von Neumann
specification	page_count 14 s.
serial	ARLID cav_un_epca*0256319 ISSN 0024-6093 title Bulletin of the London Mathematical Society volume_id 37 volume 6 (2005) page_num 885-898 publisher name Wiley
title (cze)	Uplne Booleovy algebry, sekvencialni topologie a von Neumannuv problem
keyword	Boolean algebras
keyword	Maharam submeasure
keyword	weak distributivity
keyword	independent reals
author (primary)	ARLID cav_un_auth*0100647 name1 Balcar name2 Bohuslav institution MU-W full_dept Mathematical Logic and Theoretical Computer Science fullinstit Matematický ústav AV ČR, v. v. i.
author	ARLID cav_un_auth*0100667 name1 Jech name2 Thomas institution MU-W fullinstit Matematický ústav AV ČR, v. v. i.
author	ARLID cav_un_auth*0214086 name1 Pazák name2 Tomáš institution UTIA-B fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
COSATI	12A
cas_special	research CEZ:AV0Z10750506 research CEZ:AV0Z10190503 abstract (eng) 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. abstract (cze) Clanek obsahuje reseni modifikovane verze von Neumannova-Maharamove problemu z roku 1946. reportyear 2007 RIV BA mrcbC52 4 R 4r 20241111130356.2 permalink http://hdl.handle.net/11104/0132150 arlyear 2005 mrcbTft \nSoubory v repozitáři: Balcar2.pdf mrcbU63 cav_un_epca*0256319 Bulletin of the London Mathematical Society 0024-6093 1469-2120 Roč. 37 č. 6 2005 885 898 Wiley