Shelah's pcf theory and its applications

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Annals of Pure and Applied Logic 50 (3):207-254 (1990)
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Abstract

This is a survey paper giving a self-contained account of Shelah's theory of the pcf function pcf={cf:D is an ultrafilter on a}, where a is a set of regular cardinals such that a

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10.1016/0168-0072(90)90057-9

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reprint Burke, Maxim R.; Magidor, Menachem (2002) "Shelah's pcf Theory and Its Applications". Bulletin of Symbolic Logic 8(2):307-308

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Review: Maxim R. Burke, Menachem Magidor, Shelah's pcf Theory and Its Applications. [REVIEW]Menachem Kojman - 2002 - Bulletin of Symbolic Logic 8 (2):307-308.
BURKE, MR and MAGIDOR, M., Shelah's pcf theory and its applications EDA, K., Boolean powers of abelian groups HRUSHOVSKI, E., Unidimensional theories are superstable. [REVIEW]H. Judah - 1990 - Annals of Pure and Applied Logic 50:303.
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Citations of this work

Squares, scales and stationary reflection.James Cummings, Matthew Foreman & Menachem Magidor - 2001 - Journal of Mathematical Logic 1 (01):35-98.
A very weak square principle.Matthew Foreman & Menachem Magidor - 1997 - Journal of Symbolic Logic 62 (1):175-196.
Aronszajn trees and failure of the singular cardinal hypothesis.Itay Neeman - 2009 - Journal of Mathematical Logic 9 (1):139-157.
The strenght of the failure of the singular cardinal hypothesis.Moti Gitik - 1991 - Annals of Pure and Applied Logic 51 (3):215-240.

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References found in this work

Some weak versions of large cardinal axioms.Keith J. Devlin - 1973 - Annals of Mathematical Logic 5 (4):291.
On the Singular Cardinals problem.Jack Silver, Fred Galvin, Keith J. Devlin & R. B. Jensen - 1981 - Journal of Symbolic Logic 46 (4):864-866.
Powers of regular cardinals.William B. Easton - 1970 - Annals of Mathematical Logic 1 (2):139.

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