Many different uniformity numbers of Yorioka ideals

Using a countable support product of creature forcing posets, we show that consistently, for uncountably many different functions the associated Yorioka ideals’ uniformity numbers can be pairwise different. In addition we show that, in the same forcing extension, for two other types of simple cardin...

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Published in:Archive for mathematical logic 2022-07, Vol.61 (5-6), p.653-683
Main Authors: Klausner, Lukas Daniel, Mejía, Diego Alejandro
Format: Article
Language:English
Subjects:
Algebra
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Set theory
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description Using a countable support product of creature forcing posets, we show that consistently, for uncountably many different functions the associated Yorioka ideals’ uniformity numbers can be pairwise different. In addition we show that, in the same forcing extension, for two other types of simple cardinal characteristics parametrised by reals (localisation and anti-localisation cardinals), for uncountably many parameters the corresponding cardinals are pairwise different.
doi_str_mv 10.1007/s00153-021-00809-z
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subjects Algebra
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Set theory
title Many different uniformity numbers of Yorioka ideals
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