Geodesic
Cichoń’s maximum
Martin Goldstern1 ; Jakob Kellner1 ; Saharon Shelah2
1 Institute of Discrete Mathematics and Geometry, TU Wien, Wien, Austria
2 Einstein Institute of Mathematics, Givat Ram, Jerusalem 91904, Israel and Rutgers University, Piscataway, NJ, USA
Annals of mathematics, Tome 190 (2019) no. 1, pp. 113-143

Voir la notice de l'article provenant de la source Annals of Mathematics website

Assuming four strongly compact cardinals, it is consistent that all entries in Cichoń’s diagram (apart from $\mathrm {add}(\mathcal {M})$ and $\mathrm {cof}(\mathcal {M})$, whose values are determined by the others) are pairwise different; more specifically,
$\aleph _1 < \mathrm{add}(\mathcal {N})$ $\lt \mathrm{cov}(\mathcal {N}) < \mathfrak {b} < \mathrm{non}(\mathcal {M}) < \mathrm{cov}(\mathcal {M}) < \mathfrak{d} < \mathrm{non}(\mathcal{N}) < \mathrm{cof}(\mathcal{N}) < 2^{\aleph _0}$.

DOI : 10.4007/annals.2019.190.1.2

Martin Goldstern 1 ; Jakob Kellner 1 ; Saharon Shelah 2

1 Institute of Discrete Mathematics and Geometry, TU Wien, Wien, Austria
2 Einstein Institute of Mathematics, Givat Ram, Jerusalem 91904, Israel and Rutgers University, Piscataway, NJ, USA 
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Martin Goldstern; Jakob Kellner; Saharon Shelah. Cichoń’s maximum. Annals of mathematics, Tome 190 (2019) no. 1, pp. 113-143. doi: 10.4007/annals.2019.190.1.2

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