Abstract
We investigate the topological version of the partition relation \({\forall l > 1, \alpha \rightarrow (\omega^{n} + 1)^{2}_{l,m}}\), for a given countable ordinal α. Fixing n, we find bounds for m. We obtain optimal values for m and α when n = 2.
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Piña, C. A Topological Ramsey Classification of Countable Ordinals. Acta Math. Hungar. 147, 477–509 (2015). https://doi.org/10.1007/s10474-014-0413-5
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DOI: https://doi.org/10.1007/s10474-014-0413-5