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arXiv · 1909.08078

Mad families of vector subspaces and the smallest nonmeager set of reals

Iian B. Smythe
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Abstract

We show that a parametrized $\diamondsuit$ principle, corresponding to the uniformity of the meager ideal, implies that the minimum cardinality of an infinite maximal almost disjoint family of block subspaces in a countable vector space is $\aleph_1$. Consequently, this cardinal invariant is $\aleph_1$ in the Miller model.

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BibTeXRIS

Iian B. Smythe. 2019-09-17. Mad families of vector subspaces and the smallest nonmeager set of reals. https://doi.org/10.4064/cm8044-12-2019

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