On the Ramseyan properties of some special subsets of 2 ω and their algebraic sums

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Journal of Symbolic Logic 67 (2):547-556 (2002)
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Abstract

We prove the following theorems:1. IfX⊆ 2ωis aγ-set andY⊆2ωis a strongly meager set, thenX+Yis Ramsey null.2. IfX⊆2ωis aγ-set andYbelongs to the class ofsets, then the algebraic sumX+Yis anset as well.3. Under CH there exists a setX∈MGR* which is not Ramsey null.

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10.2178/jsl/1190150097

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Countably perfectly Meager sets.Roman Pol & Piotr Zakrzewski - 2021 - Journal of Symbolic Logic 86 (3):1214-1227.

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