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arXiv · 1901.08921

A consistency result on long cardinal sequences

Juan Carlos Martinez·Lajos Soukup
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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 $f:\eta \to [\kappa,2^{\kappa}]\cap Card$ with $f(\alpha)=\kappa$ for $cf(\alpha)<\kappa$ is the cardinal sequence of some locally compact scattered space.

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BibTeXRIS

Juan Carlos Martinez, Lajos Soukup. 2019-01-25. A consistency result on long cardinal sequences. https://arxiv.org/abs/1901.08921

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