On the Ramseyan properties of some special subsets of 2ωand their algebraic sums-Reference-Cited by-同舟云学术

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

Published:2002-06 Issue:2 Volume:67 Page:547-556
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Nowik Andrzej,Weiss Tomasz

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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