More on simple forcing notions and forcings with ideals

DOI10.1016/0168-0072(93)90094-TzbMath0779.03019OpenAlexW1998694312MaRDI QIDQ685060

Saharon Shelah, M. B. Gitik

Publication date: 22 September 1993

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

Full work available at URL: https://doi.org/10.1016/0168-0072(93)90094-t

zbMATH Keywords

forcing with a \(\kappa\)- complete ideal over \(\kappa\)Hechler realsintervals of cardinalslambda-Cohen realsrandom realssimple forcing notions

Mathematics Subject Classification ID

Other aspects of forcing and Boolean-valued models (03E40)

Related Items (15)

How special are Cohen and random forcings, i. e. Boolean algebras of the family of subsets of reals moduli meagre or null ⋮ Projective forcing ⋮ On Nicely Definable Forcing Notions ⋮ Cardinal arithmetic for skeptics ⋮ A transversal of full outer measure ⋮ Applications of pcf for mild large cardinals to elementary embeddings ⋮ Strong independence and its spectrum ⋮ THE PSEUDOPOWER DICHOTOMY ⋮ A note on sets avoiding rational distances in category bases ⋮ The Cichoń diagram for degrees of relative constructibility ⋮ Regular subalgebras of complete Boolean algebras ⋮ Combinatorial properties of Hechler forcing ⋮ Properness Without Elementaricity ⋮ More on real-valued measurable cardinals and forcing with ideals ⋮ Further cardinal arithmetic

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• On certain indestructibility of strong cardinals and a question of Hajnal
• A new proof of the Gitik-Shelah theorem
• Reflecting stationary sets and successors of singular cardinals
• Forcings with ideals and simple forcing notions
• More on cardinal arithmetic
• Products of regular cardinals and cardinal invariants of products of Boolean algebras
• On generic elementary embeddings
• Cofinality of the partial ordering of functions from Ω1 into Ω under eventual domination
• Souslin forcing
• Ideals and powers of cardinals

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