Blowing up the power of a singular cardinal

DOI10.1016/0168-0072(95)00046-1zbMath0849.03039arXivmath/9404204OpenAlexW1996153963MaRDI QIDQ1919551

M. B. Gitik

Publication date: 4 November 1996

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9404204

zbMATH Keywords

forcingsingular cardinalstrong limit cardinalcofinality preserving generic extension of a modelomega-sequencesPrikry sequences

Mathematics Subject Classification ID

Ordinal and cardinal numbers (03E10) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (10)

Sigma-Prikry forcing II: Iteration Scheme ⋮ The short extenders gap three forcing using a morass ⋮ MODIFIED EXTENDER BASED FORCING ⋮ ◇ at Mahlo cardinals ⋮ ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS ⋮ BLOWING UP THE POWER OF A SINGULAR CARDINAL OF UNCOUNTABLE COFINALITY ⋮ NO BOUND FOR THE FIRST FIXED POINT ⋮ Short extenders forcings -- doing without preparations ⋮ The short extenders gap two forcing is of Prikry type ⋮ Blowing up power of a singular cardinal -- wider gaps

Cites Work

• Unnamed Item
• The covering lemma up to a Woodin cardinal
• On hidden extenders
• Extender based forcings
• Indiscernible sequences for extenders, and the singular cardinal hypothesis

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