Distinguishing types of gaps in

Journal of Symbolic Logic 68 (4):1261-1276 (2003)
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Abstract

Supplementing the well known results of Kunen we show that Martin’s Axiom is not sufficient to decide the existence of -gaps when -gaps exist, that is, it is consistent with ZFC that Martin’s Axiom holds and there are -gaps but no -gaps.

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Sacks forcing, Laver forcing, and Martin's axiom.Haim Judah, Arnold W. Miller & Saharon Shelah - 1992 - Archive for Mathematical Logic 31 (3):145-161.
Combinatorics on ideals and forcing.Serge Grigorieff - 1971 - Annals of Mathematical Logic 3 (4):363.

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