Farkas, B., Klausner, L. D., & Lischka, M. (2023). More on halfway new cardinal characteristics. Journal of Symbolic Logic, 1–16. https://doi.org/10.1017/jsl.2023.62
cardinal characteristics of the continuum; splitting number; reaping number; meagre ideal; null ideal; Tukey connections; infinitely equal forcing; Hechler model; dual Hechler model
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Abstract:
We continue investigating variants of the splitting and reaping numbers introduced in [BHK+23]. In particular, answering a question raised there, we prove the consistency of cof(M) < s1/2 and of r1/2 < add(M). Moreover, we discuss their natural generalisations sρ and rρ for ρ ∈ (0, 1), and show that rρ does not depend on ρ.
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Project title:
Borel Ideale und Filter: P 29907-N35 (FWF - Österr. Wissenschaftsfonds) Analytische P-Ideale, Banachräume und Maßalgebren: I 5918-N (FWF - Österr. Wissenschaftsfonds)
CC BY 4.0
