Abstract
Supplementing the well known results of Kunen we show that Martin’s Axiom is not sufficient to decide the existence of (ω1,𝔠)-gaps when (𝔠,𝔠)-gaps exist, that is, it is consistent with ZFC that Martin’s Axiom holds and there are (𝔠,𝔠)-gaps but no (ω1,𝔠)-gaps.
Citation
Teruyuki Yorioka. "Distinguishing types of gaps in 𝒫(ω)/fin." J. Symbolic Logic 68 (4) 1261 - 1276, December 2003. https://doi.org/10.2178/jsl/1067620186
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