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https://open.uns.ac.rs/handle/123456789/11105
Title: | Unsupported Boolean algebras and forcing | Authors: | Kurilić, Miloš | Issue Date: | 1-Jan-2004 | Journal: | Mathematical Logic Quarterly | Abstract: | 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 |
Appears in Collections: | PMF Publikacije/Publications |
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