CICHOŃ’S MAXIMUM WITH EVASION NUMBER

Abstract 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.