Cichon's maximum

doi:10.4007/annals.2019.190.1.2

Cichon's maximum

2019-07-01

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DOI：10.4007/annals.2019.190.1.2

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Assuming four strongly compact cardinals, it is consistent that all entries in Cichon's diagram (apart from add(M) and cof(M), whose values are determined by the others) are pairwise different; more specifically, aleph(1) < add(N) < cov(N) < b < non(M) < cov(M) < partial derivative < non(N) < cof(N) < 2(aleph 0).

Keyword:

set theory of the reals

Cichon's diagram

forcing

compact cardinals

Cichon's maximum

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