The extent of saturation of induced ideals

DOI10.1007/S00153-024-00919-4MaRDI QIDQ6565574

Kenta Tsukuura

Publication date: 2 July 2024

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

zbMATH Keywords

saturated idealLevy collapsehuge cardinaluniversal collapsealmost-huge cardinal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other aspects of forcing and Boolean-valued models (03E40)

Cites Work

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• Around classification theory of models
• Some downwards transfer properties for \(\aleph _ 2\)
• Topics in set theory. Lebesgue measurability, large cardinals, forcing axioms, rho-functions
• Easton collapses and a strongly saturated filter
• Walks on ordinals and their characteristics
• Layered posets and Kunen's universal collapse
• Partition Relations
• Ideals and Generic Elementary Embeddings
• Saturated ideals
• On the Existence of Nonregular Ultrafilters and the Cardinality of Ultrapowers
• Martin's maximum, saturated ideals and nonregular ultrafilters. II.

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