On the centeredness of saturated ideals

DOI10.21099/tkbjm/20234701029arXiv2207.11959MaRDI QIDQ6144545

Kenta Tsukuura

Publication date: 5 January 2024

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.11959

zbMATH Keywords

saturated idealhuge cardinalcentered idealuniversal collapse

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Cites Work

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• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Some downwards transfer properties for \(\aleph _ 2\)
• Prikry-type forcing and the set of possible cofinalities
• Easton collapses and a strongly saturated filter
• Ideals and Generic Elementary Embeddings
• Saturated ideals
• On the Existence of Nonregular Ultrafilters and the Cardinality of Ultrapowers

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