A consistency result on thin-tall superatomic Boolean algebras

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dc.contributor	Universitat de Barcelona
dc.contributor.author	Martínez Alonso, Juan Carlos
dc.date	2009-04-07T07:46:43Z
dc.date	2009-04-07T07:46:43Z
dc.date	1992
dc.identifier.citation	1088-6826
dc.identifier.citation	74509
dc.identifier.uri	http://hdl.handle.net/2445/7666
dc.format	6 p.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	American Mathematical Society
dc.relation	Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2159270
dc.relation	Proceedings of the American Mathematical Society, 1992, vol. 115, núm. 2, p. 473-477.
dc.rights	(c) American Mathematical Society, 1992
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Teoria de conjunts
dc.subject	Àlgebra de Boole
dc.subject	Set theory
dc.subject	Boolean algebras
dc.title	A consistency result on thin-tall superatomic Boolean algebras
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.abstract	We prove that if n is an infinite cardinal with $\mathscr{n}^{<\mathscr{n}} = \mathscr{n}$, then there is a cardinal-preserving notion of forcing that forces the existence of a n-thin-tall superatomic Boolean algebra. Consistency for specific n, like ω1, then follows as a corollary.

Martínez Alonso, Juan Carlos; Soukup, Lajos

Martínez Alonso, Juan Carlos

Martínez Alonso, Juan Carlos

Martínez Alonso, Juan Carlos; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica

Martínez Alonso, Juan Carlos; Soukup, Lajos; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica

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