Abstract
We provide optimal values for m satisfying the partition relation \({{\forall l > 1, \alpha \rightarrow ({\rm top} \omega^{2} + 1)^{2}_{l,m}}}\) when \({{\alpha = {\omega^{\omega}} +1}}\) and when \({{\alpha = {\omega^{{\omega}^{k}}}, {\rm for every} k > 1}}\).
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References
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C. Piña, A topological Ramsey classification of countable ordinals, Acta Math. Hungar., DOI:10.1007/s10474-014-0413-5, 2014.
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Piña, C. A topological Ramsey classification of countable ordinals. II. Acta Math. Hungar. 147, 510–527 (2015). https://doi.org/10.1007/s10474-015-0554-1
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DOI: https://doi.org/10.1007/s10474-015-0554-1