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CICHOŃ’S MAXIMUM WITH EVASION NUMBER
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- Journal:
- The Journal of Symbolic Logic , First View
- Published online by Cambridge University Press:
- 27 January 2025, pp. 1-31
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- Article
- Export citation
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We show that the evasion number
$\mathfrak {e}$ can be added to Cichoń’s maximum with a distinct value. More specifically, it is consistent that 
$\aleph _1<\operatorname {\mathrm {add}}(\mathcal {N})<\operatorname {\mathrm {cov}}(\mathcal {N})<\mathfrak {b}<\mathfrak {e}<\operatorname {\mathrm {non}}(\mathcal {M})<\operatorname {\mathrm {cov}}(\mathcal {M})<\mathfrak {d}<\operatorname {\mathrm {non}}(\mathcal {N})<\operatorname {\mathrm {cof}}(\mathcal {N})<2^{\aleph _0}$ holds.
