Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/185509
Title: | A consistency result on long cardinal sequences |
Author: | Martínez Alonso, Juan Carlos Soukup, Lajos |
Keywords: | Topologia Àlgebra de Boole Teoria de conjunts Topology Boolean algebras Set theory |
Issue Date: | 9-Jul-2021 |
Publisher: | Elsevier B.V. |
Abstract: | 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. |
Note: | Reproducció del document publicat a: https://doi.org/10.1016/j.apal.2021.103017 |
It is part of: | Annals of Pure and Applied Logic, 2021, vol. 172 |
URI: | http://hdl.handle.net/2445/185509 |
Related resource: | https://doi.org/10.1016/j.apal.2021.103017 |
ISSN: | 0168-0072 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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