Remarks on gaps in Dense (Q) / nwd

Mathematical Logic Quarterly 59 (1-2):51-61 (2013)
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Abstract

The structure Dense /nwd and gaps in analytic quotients of equation image have been studied in the literature 2, 3, 1. We prove that the structures Dense /nwd and equation image have gaps of type equation image, and there are no -gaps for equation image, where equation image is the additivity number of the meager ideal. We also prove the existence of -gaps in these structures. Finally we characterize the cofinality of the meager ideal equation image using families of sets in Dense /nwd

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10.1002/malq.201110047

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