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  1.  3
    Null Sets and Combinatorial Covering Properties.Piotr Szewczak & Tomasz Weiss - 2022 - Journal of Symbolic Logic 87 (3):1231-1242.
    A subset of the Cantor cube is null-additive if its algebraic sum with any null set is null. We construct a set of cardinality continuum such that: all continuous images of the set into the Cantor cube are null-additive, it contains a homeomorphic copy of a set that is not null-additive, and it has the property $\unicode{x3b3} $, a strong combinatorial covering property. We also construct a nontrivial subset of the Cantor cube with the property $\unicode{x3b3} $ that is not (...)
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  2.  54
    The Algebraic Sum of Sets of Real Numbers with Strong Measure Zero Sets.Andrej Nowik, Marion Scheepers & Tomasz Weiss - 1998 - Journal of Symbolic Logic 63 (1):301-324.
    We prove the following theorems: (1) If X has strong measure zero and if Y has strong first category, then their algebraic sum has property s 0 . (2) If X has Hurewicz's covering property, then it has strong measure zero if, and only if, its algebraic sum with any first category set is a first category set. (3) If X has strong measure zero and Hurewicz's covering property then its algebraic sum with any set in APC ' is a (...)
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  3.  2
    Special Subsets of the Generalized Cantor Space and Generalized Baire Space.Michał Korch & Tomasz Weiss - 2020 - Mathematical Logic Quarterly 66 (4):418-437.
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