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.
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| 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 |
| Sumario: | 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. |
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