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COMPACT CARDINALS AND EIGHT VALUES IN CICHOŃ’S DIAGRAM

COMPACT CARDINALS AND EIGHT VALUES IN CICHOŃ’S DIAGRAM

Abstract Assuming three strongly compact cardinals, it is consistent that $${\aleph _1} < add\left( {\cal N} \right) < cov\left( {\cal N} \right) < \mathfrakb < \mathfrakd < non\left( {\cal N} \right) < cof\left( {\cal N} \right) < {2^{{\aleph _0}}}.$$ Under the same assumption, it is consistent that $${\aleph _1} < …