On cardinal characteristics associated with the strong measure zero ideal
Tom 257 / 2022
Fundamenta Mathematicae 257 (2022), 289-304
MSC: 03E10, 03E17, 03E35.
DOI: 10.4064/fm83-11-2021
Opublikowany online: 24 February 2022
Streszczenie
Let be the strong measure zero \sigma -ideal. We prove a result providing bounds for \mathrm {cof}(\mathcal {SN}), similar to Yorioka’s 2020 result on \mathcal {SN}. This is used to prove that \mathrm {add}(\mathcal {SN})=\mathrm {cof}(\mathcal {SN}) \lt \mathrm {non}(\mathcal {SN}) \lt \mathrm {cof}(\mathcal {SN}) is consistent with ZFC (via a matrix iteration forcing construction).
