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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A two-cardinal theorem and a combinatorial theorem


Author: Saharon Shelah
Journal: Proc. Amer. Math. Soc. 62 (1977), 134-136
MSC: Primary 02H05; Secondary 04A20, 02H13
DOI: https://doi.org/10.1090/S0002-9939-1977-0434800-6
MathSciNet review: 0434800
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Abstract: We prove a new two-cardinal theorem, e.g. $ ({\aleph _\omega },{\aleph _0}) \to ({2^{{\aleph _0}}},{\aleph _0})$. For this we prove a combinatorial theorem.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0434800-6
Keywords: Two-cardinal theorem, partition calculus
Article copyright: © Copyright 1977 American Mathematical Society