Getting More Colors
نویسنده
چکیده
We establish a coloring theorem for successors of a singular cardinals, and use it prove that for any such cardinal μ, we have μ+ 9 [μ+]2 μ+ if and only if μ+ 9 [μ]θ for arbitrarily large θ < μ.
منابع مشابه
Getting more colors II
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 establish a coloring theorem for successors of singular cardinals, and use it prove that for any such cardinal μ, we have μ+ 9 [μ+]2 μ+ if and only if μ+ 9 [μ]θ for arbitrarily large θ < μ.
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