The Club Guessing Ideal: Commentary on a Theorem of Gitik and Shelah

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Journal of Mathematical Logic 5 (1):99-147 (2005)
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Abstract

It is shown in this paper that it is consistent (relative to almost huge cardinals) for various club guessing ideals to be saturated.

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10.1142/s0219061305000419

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Citations of this work

Layered Posets and Kunen’s Universal Collapse.Sean Cox - 2019 - Notre Dame Journal of Formal Logic 60 (1):27-60.
Club Guessing and the Universal Models.Mirna Džamonja - 2005 - Notre Dame Journal of Formal Logic 46 (3):283-300.
Ideal projections and forcing projections.Sean Cox & Martin Zeman - 2014 - Journal of Symbolic Logic 79 (4):1247-1285.
Local saturation and square everywhere.Monroe Eskew - 2020 - Journal of Mathematical Logic 20 (3):2050019.

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References found in this work

The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.
Set theory.Thomas Jech - 1981 - Journal of Symbolic Logic.
Strong axioms of infinity and elementary embeddings.Robert M. Solovay - 1978 - Annals of Mathematical Logic 13 (1):73.
Squares, scales and stationary reflection.James Cummings, Matthew Foreman & Menachem Magidor - 2001 - Journal of Mathematical Logic 1 (01):35-98.
Scales, squares and reflection.James Cummings, Matthew Foreman & Menachem Magidor - 2001 - Journal of Mathematical Logic 1 (1):35-98.

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