Club Guessing and the Universal Models

Notre Dame Journal of Formal Logic 46 (3):283-300 (2005)
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Abstract

We survey the use of club guessing and other PCF constructs in the context of showing that a given partially ordered class of objects does not have a largest, or a universal, element

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10.1305/ndjfl/1125409327

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Citations of this work

On universal modules with pure embeddings.Thomas G. Kucera & Marcos Mazari-Armida - 2020 - Mathematical Logic Quarterly 66 (4):395-408.
Universal Structures.Saharon Shelah - 2017 - Notre Dame Journal of Formal Logic 58 (2):159-177.
On guessing generalized clubs at the successors of regulars.Assaf Rinot - 2011 - Annals of Pure and Applied Logic 162 (7):566-577.

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References found in this work

Toward classifying unstable theories.Saharon Shelah - 1996 - Annals of Pure and Applied Logic 80 (3):229-255.
Nonexistence of universal orders in many cardinals.Menachem Kojman & Saharon Shelah - 1992 - Journal of Symbolic Logic 57 (3):875-891.
Trees and Π 1 1 -Subsets of ω1 ω 1.Alan Mekler & Jouko Vaananen - 1993 - Journal of Symbolic Logic 58 (3):1052 - 1070.
Trees and -subsets of ω1ω1.Alan Mekler & Jouko Väänänen - 1993 - Journal of Symbolic Logic 58 (3):1052-1070.
On universal graphs without instances of CH.Saharon Shelah - 1984 - Annals of Pure and Applied Logic 26 (1):75-87.

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