Cardona Montoya, M. A. (2022). On cardinal characteristics associated with the strong measure zero ideal. Fundamenta Mathematicae, 257(3), 289–304. https://doi.org/10.4064/fm83-11-2021
Let SN be the strong measure zero σ-ideal. We prove a result providing bounds for cof(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 add(SN) = cov(SN) < non(SN) < cof(SN).