The variety of projections of a tree Prikry forcing

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Journal of Mathematical Logic 24 (3) (2023)
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Abstract

Journal of Mathematical Logic, Volume 24, Issue 03, December 2024. We study which [math]-distributive forcing notions of size [math] can be embedded into tree Prikry forcing notions with [math]-complete ultrafilters under various large cardinal assumptions. An alternative formulation — can the filter of dense open subsets of a [math]-distributive forcing notion of size [math] be extended to a [math]-complete ultrafilter.

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10.1142/s0219061324500065

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