Cichoń's maximum

Martin Goldstern; Jakob Kellner; Saharon Shelah

doi:10.4007/annals.2019.190.1.2

Cichoń's maximum

Martin Goldstern
, Jakob Kellner
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

Assuming four strongly compact cardinals, it is consistent that all entries in Cichoń's diagram (apart from add(M) and cof(M), whose values are determined by the others) are pairwise different; more specifically, ℵ₁ < add(N) < cov(N) < b < non(M) < cov(M) < ∂ < non(N) < cof(N) < 2^ℵ₀.

Original language	English
Pages (from-to)	113-143
Number of pages	31
Journal	Annals of Mathematics
Volume	190
Issue number	1
DOIs	https://doi.org/10.4007/annals.2019.190.1.2
State	Published - 1 Jul 2019

Bibliographical note

Publisher Copyright:
© 2019 Department of Mathematics, Princeton University.

Keywords

Cichoń's diagram
Compact cardinals
Forcing
Set theory of the reals

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10.4007/annals.2019.190.1.2

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KW - Compact cardinals

KW - Forcing

KW - Set theory of the reals

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Cichoń's maximum

Abstract

Bibliographical note

Keywords

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