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arXiv · 2003.07066

On cardinal characteristics associated with the strong measure zero ideal

Miguel A. Cardona
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Abstract

Let $\mathcal{SN}$ be the strong measure zero $\sigma$-ideal. We prove a result providing bounds for $\mathrm{cof}(\mathcal{SN})$ which implies Yorioka's characterization of the cofinality of the strong measure zero. In addition, we use forcing matrix iterations to construct a model of ZFC that satisfies $\mathrm{add}(\mathcal{SN})=\mathrm{cov}(\mathcal{SN})<\mathrm{non}(\mathcal{SN})<\mathrm{cof}(\mathcal{SN})$.

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Miguel A. Cardona. 2020-03-16. On cardinal characteristics associated with the strong measure zero ideal. https://arxiv.org/abs/2003.07066

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