Authors: Thomas Jech and Saharon Shelah
Title: Possible pcf algebras
J. Symb. Logic 61 (1996)
Abstract: We prove the existence of a structure on countable ordinals
that is relevant to the singular cardinals problem.
Author: Thomas Jech
Title: Singular cardinals and the pcf theory
Bull. Symb. Logic 1 (1995)
Abstract: An expository article on the singular cardinals problem.
Author: Thomas Jech
Title: A variation on a theorem of Galvin and Hajnal
Bull. London Math. Soc. 25 (1993)
Abstract: Using methods of Shelah's pcf theory, we prove an upper
bound on the length of cofinal scales
in reduced products, using the Galvin-Hajnal norm.
Author: Thomas Jech
Title: Singular cardinal problem: Shelah's theorem on
2 to aleph_omega
Bull. London Math. Soc. 24 (1992)
Abstract: This is an expository paper giving a complete proof of a
celebrated theorem of Saharon Shelah.
Authors: Thomas Jech and Saharon Shelah
Title: On a conjecture of Tarski on products of cardinals
Proceedings AMS 112 (1991)
Abstract: We look at an old conjecture of A. Tarski on
cardinal arithmetic and show that if a counterexample exists,
then there exists one of length omega_1 + omega.