Unsupported Boolean algebras and forcing

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Назив:	Unsupported Boolean algebras and forcing
Аутори:	Kurilić, Miloš
Датум издавања:	1-јан-2004
Часопис:	Mathematical Logic Quarterly
Сажетак:	If κ is an infinite cardinal, a complete Boolean algebra B is called κ-supported if for each sequence 〈b β : β < κ〉 of elements of B the equality ∧ α>κ ∨ β>α b β = ∨ A∈[κ]κ ∧ β∈A b β holds. Combinatorial and forcing equivalents of this property are given and compared with the other forcing related properties of Boolean algebras (distributivity, caliber, etc.). The set of regular cardinals κ for which B is not κ-supported is investigated. © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
URI:	https://open.uns.ac.rs/handle/123456789/11105
ISSN:	09425616
DOI:	10.1002/malq.200410003
Налази се у колекцијама:	PMF Publikacije/Publications