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Successors of singular cardinals and coloring theorems II

Published online by Cambridge University Press:  12 March 2014

Todd Eisworth  and
Saharon Shelah
Todd Eisworth
Affiliation:
Institute of Mathematics, The Hebrew University of JerusalemJerusalem, Israel
Saharon Shelah
Affiliation:
Department of Mathematics, Ohio UniversityAthens, Oh 45701, USA, E-mail: eisworth@math.ohiou.edu Department of Mathematics, Rutgers University, New Brunswick, Nj, USA, E-mail: shelah@math.huji.ac.il
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Abstract

In this paper, we investigate the extent to which techniques used in [10], [2], and [3]—developed to prove coloring theorems at successors of singular cardinals of uncountable cofinality—can be extended to cover the countable cofinality case.

Keywords

square-brackets partition relationsminimal walkssuccessor of singular cardinal
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 74 , Issue 4 , December 2009 , pp. 1287 - 1309
Copyright
Copyright © Association for Symbolic Logic 2009

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References

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