Abstract

Combining creature forcing approaches from [16] and [8], we show that, under ch, there is a proper ωω-bounding poset with ℵ2-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 [17].

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