Diamond, GCH and weak square

DOI10.1090/S0002-9939-10-10192-0zbMath1280.03048OpenAlexW2083927015MaRDI QIDQ3559016

Martin Zeman

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10192-0

zbMATH Keywords

diamondgeneralized continuum hypothesisweak square

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (7)

Reflection principles, GCH and the uniformization properties ⋮ The failure of diamond on a reflecting stationary set ⋮ Diamond, scales and GCH down to \(\aleph_{\omega^2}\) ⋮ A relative of the approachability ideal, diamond and non-saturation ⋮ A remark on Schimmerling's question ⋮ Two-cardinal diamond and games of uncountable length ⋮ Guessing more sets

Cites Work

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• ◇ at Mahlo cardinals
• SQUARES, SCALES AND STATIONARY REFLECTION
• Diamonds
• Higher Souslin trees and the generalized continuum hypothesis
• A relative of the approachability ideal, diamond and non-saturation
• The failure of diamond on a reflecting stationary set

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