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  1. The cofinality of cardinal invariants related to measure and category.Tomek Bartoszynski, Jaime I. Ihoda & Saharon Shelah - 1989 - Journal of Symbolic Logic 54 (3):719-726.
    We prove that the following are consistent with ZFC. 1. 2 ω = ℵ ω 1 + K C = ℵ ω 1 + K B = K U = ω 2 (for measure and category simultaneously). 2. 2 ω = ℵ ω 1 = K C (L) + K C (M) = ω 2 . This concludes the discussion about the cofinality of K C.
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  • On the cofinality of the smallest covering of the real line by Meager sets.Tomek Bartoszynski & Jaime I. Ihoda - 1989 - Journal of Symbolic Logic 54 (3):828-832.
    We prove that the cofinality of the smallest covering of R by meager sets is bigger than the additivity of measure.
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