Notes on Singular Cardinal Combinatorics

Notre Dame Journal of Formal Logic 46 (3):251-282 (2005)
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Abstract

We present a survey of combinatorial set theory relevant to the study of singular cardinals and their successors. The topics covered include diamonds, squares, club guessing, forcing axioms, and PCF theory

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Citations of this work

Aronszajn Trees and the Successors of a Singular Cardinal.Spencer Unger - 2013 - Archive for Mathematical Logic 52 (5-6):483-496.
Diagonal Prikry Extensions.James Cummings & Matthew Foreman - 2010 - Journal of Symbolic Logic 75 (4):1383-1402.
Club-Guessing, Stationary Reflection, and Coloring Theorems.Todd Eisworth - 2010 - Annals of Pure and Applied Logic 161 (10):1216-1243.
A Model of Cummings and Foreman Revisited.Spencer Unger - 2014 - Annals of Pure and Applied Logic 165 (12):1813-1831.
$$I_0$$ I 0 and Combinatorics at $$\lambda ^+$$ Λ +.Nam Trang & Xianghui Shi - 2017 - Archive for Mathematical Logic 56 (1-2):131-154.

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References found in this work

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.
Some Exact Equiconsistency Results in Set Theory.Leo Harrington & Saharon Shelah - 1985 - Notre Dame Journal of Formal Logic 26 (2):178-188.

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