More on Halfway New Cardinal Characteristics

2023/04/19 by Farkas, Barnabás, Klausner, Lukas Daniel, Lischka, Marc · 1 citation
#03E17 (Primary) 03E40 (Secondary) #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2304.09698

Abstract

We continue investigating variants of the splitting and reaping numbers introduced in arXiv:1808.02442. In particular, answering a question raised there, we prove the consistency of cof(M)<\mathfraks_(1)/(2) and of \mathfrakr_(1)/(2)<add(M). Moreover, we discuss their natural generalisations \mathfraks_ρ and \mathfrakr_ρ for ρ∈ (0,1), and show that \mathfrakr_ρ does not depend on ρ.

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