Partitioning αα-large sets for α<εωα<\varepsilon_ω

preprint2010arXivOpen access

Abstract

We generalise the results by Bigorajska and Kotlarski about partitioning αα-large sets, by extending the domain up to ordinals below εω\varepsilon_ω. These results will be very useful to give a miniaturisation of the infinite Ramsey Theorem.

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