Simple proofs of SCH from reflection principles without using better scales

DOI10.1007/s00153-015-0432-0zbMath1354.03072OpenAlexW270145678WikidataQ113906149 ScholiaQ113906149MaRDI QIDQ494653

Hiroshi Sakai

Publication date: 1 September 2015

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

Full work available at URL: https://doi.org/10.1007/s00153-015-0432-0

zbMATH Keywords

singular cardinal hypothesisFodor-type reflection principleweak reflection principle

Mathematics Subject Classification ID

Large cardinals (03E55) Other set-theoretic hypotheses and axioms (03E65)

Related Items (1)

Sigma-Prikry forcing. III: Down to \(\aleph_{\omega}\)

Cites Work

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• On the consistency strength of the proper forcing axiom
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• Fodor-type reflection principle and reflection of metrizability and meta-Lindelöfness
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Forcing axioms and stationary sets
• Nonreflecting stationary sets in \(\mathcal P_{\kappa}\lambda\)
• Stationary reflection principles and two cardinal tree properties
• Openly generated Boolean algebras and the Fodor-type reflection principle
• On reflection of stationary sets
• Reflection implies the SCH
• The proper forcing axiom and the singular cardinal hypothesis

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