Non-linear iterations and higher splitting

2020/05/22 by Bağ, Ömer Faruk, Fischer, Vera
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2005.11105

Abstract

We show that generalized eventually narrow sequences on a strongly inaccessible cardinal κ are preserved under the Cummings-Shaleh non-linear iterations of the higher Hechler forcing on κ. Moreover assuming GCH, κ^κ,then there is a cardinal preserving generic extension in which \mathfraks(κ)=κ⁺≤\mathfrakb(κ)=β≤\mathfrakd(κ)=δ≤ 2^κ=μ. (2) if κ is strongly inaccessible, λ>κ⁺, then in the generic extension obtained as the

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