Archive for Mathematical Logic 47 (7-8):653-671 (2008)

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 ${{\mathcal {I}}_f}$
Keywords Countable support iteration  Finite support iteration  Countable chain condition  Cohen forcing  Random forcing  Sacks forcing
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DOI 10.1007/s00153-008-0091-5
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References found in this work BETA

The Cofinality of the Strong Measure Zero Ideal.Teruyuki Yorioka - 2002 - Journal of Symbolic Logic 67 (4):1373-1384.
The Covering Number and the Uniformity of the Ideal ℐf.Noboru Osuga - 2006 - Mathematical Logic Quarterly 52 (4):351-358.

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Citations of this work BETA

Many Different Covering Numbers of Yorioka’s Ideals.Noboru Osuga & Shizuo Kamo - 2014 - Archive for Mathematical Logic 53 (1-2):43-56.
On Cardinal Characteristics of Yorioka Ideals.Miguel A. Cardona & Diego A. Mejía - 2019 - Mathematical Logic Quarterly 65 (2):170-199.

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