Evading predictors with creatures

Spinas, Otmar

doi:10.1090/S0002-9939-98-04410-4

Evading predictors with creatures
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Proc. Amer. Math. Soc. 126 (1998), 2103-2115 Request permission

Abstract:

We continue the theory of evasion and prediction which was introduced by Blass and developed by Brendle, Shelah, and Laflamme. We prove that for arbitrary sufficiently different $f,g\in ^{\omega }\omega$, it is consistent to have ${\mathfrak {e}}_{g}<{\mathfrak {e}}_{f}$, where ${\mathfrak {e}}_{f}$ is the evasion number of the space $\prod _{n<\omega }f(n)$. For this we apply a variant of Shelah’s “creature forcing”.

References

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