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arXiv · 2110.11614

Continuum Many Different Things: Localisation, Anti-Localisation and Yorioka Ideals

Miguel Antonio Cardona·Lukas Daniel Klausner·Diego Alejandro Mejía
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Abstract

Combining creature forcing approaches from arXiv:1003.3425 and arXiv:1402.0367, we show that, under CH, there is a proper $\omega^\omega$-bounding poset with $\aleph_2$-cc that forces continuum many pairwise different cardinal characteristics, parametrised by reals, for each one of the following six types: uniformity and covering numbers of Yorioka ideals as well as both kinds of localisation and anti-localisation cardinals, respectively. This answers several open questions from arXiv:1805.11005.

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Miguel Antonio Cardona, Lukas Daniel Klausner, Diego Alejandro Mejía. 2021-10-22. Continuum Many Different Things: Localisation, Anti-Localisation and Yorioka Ideals. https://doi.org/10.1016/j.apal.2024.103453

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