A consistency result on long cardinal sequences
For any regular cardinal $\kappa$ and ordinal $\eta<\kappa^{++}$it is consistent that $2^{\kappa}$ is as large as you wish, and every function $f: \eta \longrightarrow\left[\kappa, 2^{\kappa}\right] \cap$ Card with $f(\alpha)=\kappa$ for $c f(\alpha)<\kappa$ is the cardinal sequence of some lo...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| 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:2445/185509 |
| Acceso en línea: | https://hdl.handle.net/2445/185509 |
| Access Level: | acceso abierto |
| Palabra clave: | Topologia Àlgebra de Boole Teoria de conjunts Topology Boolean algebras Set theory |
| Sumario: | For any regular cardinal $\kappa$ and ordinal $\eta<\kappa^{++}$it is consistent that $2^{\kappa}$ is as large as you wish, and every function $f: \eta \longrightarrow\left[\kappa, 2^{\kappa}\right] \cap$ Card with $f(\alpha)=\kappa$ for $c f(\alpha)<\kappa$ is the cardinal sequence of some locally compact scattered space. |
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