Partitioning $α$-large sets for $α<\varepsilon_ω$

Details Partitioning $α$-large sets for $α<\varepsilon_ω$ Partitioning $α$-large sets for $α<\varepsilon_ω$

2010-01-14

arxiv.org/abs/1001.2437v1

Mathematics

Combinatorics

22 pages

Scientific paper

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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