Cichoń’s maximum with cardinals of the closed null ideal

Autorzy

Dane publikacji

  • DOI: 10.4064/fm241212-22-8

  • Tom 272

  • Zeszyt 2

  • Czasopismo: Fundamenta Mathematicae

  • Strony: 103-135

  • Data publikacji online: 13.01.2026

Liczba wyświetleń: 0

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Abstrakt

Let $\mathcal E$ denote the $\sigma $-ideal generated by closed null sets on the reals. We show that the uniformity and the covering of $\mathcal {E}$ can be added to Cichoń’s maximum with distinct values. More specifically, it is consistent that $\aleph _1 \lt \mathrm{add}(\mathcal {N}) \lt \mathrm{cov}(\mathcal N) \lt \mathfrak b \lt \mathrm{non}(\mathcal E) \lt \mathrm{non}(\mathcal M) \lt \mathrm{cov}(\mathcal {M}) \lt \mathrm{cov}(\mathcal {E}) \lt \mathfrak {d} \lt \mathrm {non}(\mathcal {N}) \lt \mathrm{cof}(\mathcal N) \lt 2^{\aleph _0}$ holds.
Cichoń’s maximum with cardinals of the closed null ideal - Fundamenta Mathematicae | Wydawnictwa - Instytut Matematyczny Polskiej Akademii Nauk