Abstract
In 2002, Yorioka introduced the σ-ideal \({{\mathcal {I}}_f}\) for strictly increasing functions f from ω into ω to analyze the cofinality of the strong measure zero ideal. For each f, we study the cardinal coefficients (the additivity, covering number, uniformity and cofinality) of \({{\mathcal {I}}_f}\) .
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Osuga, N., Kamo, S. The cardinal coefficients of the Ideal \({{\mathcal {I}}_{f}}\) . Arch. Math. Logic 47, 653–671 (2008). https://doi.org/10.1007/s00153-008-0091-5
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DOI: https://doi.org/10.1007/s00153-008-0091-5
Keywords
- Countable support iteration
- Finite support iteration
- Countable chain condition
- Cohen forcing
- Random forcing
- Sacks forcing