A consistency result on thin-tall superatomic Boolean algebras

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.

Detalles Bibliográficos
Autor: Martínez Alonso, Juan Carlos
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1992
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/7666
Acceso en línea:https://hdl.handle.net/2445/7666
Access Level:acceso abierto
Palabra clave:Teoria de conjunts
Àlgebra de Boole
Set theory
Boolean algebras
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spelling A consistency result on thin-tall superatomic Boolean algebrasMartínez Alonso, Juan CarlosTeoria de conjuntsÀlgebra de BooleSet theoryBoolean algebrasWe 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.American Mathematical Society200920091992info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion6 p.application/pdfhttps://hdl.handle.net/2445/7666Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2159270Proceedings of the American Mathematical Society, 1992, vol. 115, núm. 2, p. 473-477.(c) American Mathematical Society, 1992info:eu-repo/semantics/openAccessoai:recercat.cat:2445/76662026-05-29T05:05:01Z
dc.title.none.fl_str_mv A consistency result on thin-tall superatomic Boolean algebras
title A consistency result on thin-tall superatomic Boolean algebras
spellingShingle A consistency result on thin-tall superatomic Boolean algebras
Martínez Alonso, Juan Carlos
Teoria de conjunts
Àlgebra de Boole
Set theory
Boolean algebras
title_short A consistency result on thin-tall superatomic Boolean algebras
title_full A consistency result on thin-tall superatomic Boolean algebras
title_fullStr A consistency result on thin-tall superatomic Boolean algebras
title_full_unstemmed A consistency result on thin-tall superatomic Boolean algebras
title_sort A consistency result on thin-tall superatomic Boolean algebras
dc.creator.none.fl_str_mv Martínez Alonso, Juan Carlos
author Martínez Alonso, Juan Carlos
author_facet Martínez Alonso, Juan Carlos
author_role author
dc.subject.none.fl_str_mv Teoria de conjunts
Àlgebra de Boole
Set theory
Boolean algebras
topic Teoria de conjunts
Àlgebra de Boole
Set theory
Boolean algebras
description 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.
publishDate 1992
dc.date.none.fl_str_mv 1992
2009
2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/7666
url https://hdl.handle.net/2445/7666
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2159270
Proceedings of the American Mathematical Society, 1992, vol. 115, núm. 2, p. 473-477.
dc.rights.none.fl_str_mv (c) American Mathematical Society, 1992
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Mathematical Society, 1992
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 6 p.
application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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