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On a conjecture of Tarski on products of cardinals


Authors: Thomas Jech and Saharon Shelah
Journal: Proc. Amer. Math. Soc. 112 (1991), 1117-1124
MSC: Primary 03E10; Secondary 03E35
DOI: https://doi.org/10.1090/S0002-9939-1991-1070525-1
MathSciNet review: 1070525
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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 $.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1070525-1
Keywords: Cardinal arithmetic, singular cardinals problem, $ pc f$
Article copyright: © Copyright 1991 American Mathematical Society