On the Ramseyan properties of some special subsets of 2ω and their algebraic sums
Journal of Symbolic Logic 67 (2):547-556 (2002)
| Abstract | We prove the following theorems: 1. If $X \subseteq 2^\omega$ is a γ-set and $Y \subseteq 2^\omega$ is a strongly meager set, then X + Y is Ramsey null. 2. If $X \subseteq 2^\omega$ is a γ-set and Y belongs to the class of E sets, then the algebraic sum X + Y is an E set as well. 3. Under CH there exists a set X ∈ MGR* which is not Ramsey null | |||||||||
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