Scales at \({\aleph_{\omega} }\)

DOI10.1007/S11856-015-1225-1zbMath1370.03064OpenAlexW2266012008MaRDI QIDQ891164

Spencer Unger, Dima Sinapova

Publication date: 16 November 2015

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

Full work available at URL: https://doi.org/10.1007/s11856-015-1225-1

zbMATH Keywords

scalespcf theorysingular cardinals hypothesisweak squarePrikry type forcingss

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (4)

STATIONARY REFLECTION AND THE FAILURE OF THE SCH ⋮ The tree property below \(\aleph_{\omega \cdot 2}\) ⋮ MODIFIED EXTENDER BASED FORCING ⋮ Diagonal supercompact Radin forcing

Cites Work

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• Combinatorics at \(\aleph_\omega\)
• Good and bad points in scales
• On the singular cardinals problem. I
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Indexed squares
• Combinatorial principles in the core model for one Woodin cardinal
• SQUARES, SCALES AND STATIONARY REFLECTION
• Cardinal Arithmetic
• Diagonal Prikry extensions
• Extender based forcings
• Set Theory
• On SCH and the approachability property
• Powers of regular cardinals
• The fine structure of the constructible hierarchy

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