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arXiv · 2202.09255

On heights of distributivity matrices

Vera Fischer·Marlene Koelbing·Wolfgang Wohofsky
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Abstract

We construct a model in which there exists a distributivity matrix of regular height $\lambda$ larger than $\mathfrak{h}$; both $\lambda = \mathfrak{c}$ and $\lambda < \mathfrak{c}$ are possible. A distributivity matrix is a refining system of mad families without common refinement. Of particular interest in our proof is the preservation of $\mathcal{B}$-Canjarness.

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Vera Fischer, Marlene Koelbing, Wolfgang Wohofsky. 2022-02-18. On heights of distributivity matrices. https://arxiv.org/abs/2202.09255

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