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2021-07-09

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cc-by (c) Martínez Alonso, Juan Carlos et al., 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/185509

A consistency result on long cardinal sequences

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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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https://doi.org/10.1016/j.apal.2021.103017

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Topologia, Àlgebra de Boole, Teoria de conjunts

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Topology, Boolean algebras, Set theory

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MARTÍNEZ ALONSO, Juan Carlos and SOUKUP, Lajos. A consistency result on long cardinal sequences. Annals of Pure and Applied Logic. 2021. Vol. 172. ISSN 0168-0072. [consulted: 11 of October of 2026]. Available at: https://hdl.handle.net/2445/185509

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