Partitioning $\alpha$-large sets for $\alpha<\varepsilon_{\omega}$

Andreas Weiermann; Michiel De Smet

arxiv: 1001.2437 · v1 · submitted 2010-01-14 · 🧮 math.CO

Partitioning α-large sets for α<varepsilon_(ω)

Michiel De Smet , Andreas Weiermann This is my paper

classification 🧮 math.CO

keywords alphalargeomegapartitioningresultssetsvarepsilonbelow

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We generalise the results by Bigorajska and Kotlarski about partitioning $\alpha$-large sets, by extending the domain up to ordinals below $\varepsilon_{\omega}$. These results will be very useful to give a miniaturisation of the infinite Ramsey Theorem.

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Partitioning α-large sets for α<varepsilon_(ω)

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