Successors of singular cardinals and coloring theorems {II}
نویسندگان
چکیده
In this paper, we investigate the extent to which techniques used in [8], [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.
منابع مشابه
Successors of Singular Cardinals and Coloring Theorems
We investigate the existence of strong colorings on successors of singular cardinals. This work continues Section 2 of [1], but now our emphasis is on finding colorings of pairs of ordinals, rather than colorings of finite sets of ordinals.
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We formulate and prove (in ZFC) a strong coloring theorem which holds at successors of singular cardinals, and use it to answer several questions concerning Shelah’s principle Pr1(μ, μ+, μ+, cf(μ)) for singular μ.
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We formulate and prove (in ZFC) a strong coloring theorem which holds at successors of singular cardinals, and use it to answer several questions concerning Shelah’s principle Pr1(μ, μ+, μ+, cf(μ)) for singular μ.
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عنوان ژورنال:
- J. Symb. Log.
دوره 74 شماره
صفحات -
تاریخ انتشار 2009