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A topological Ramsey classification of countable ordinals. II - MaRDI portal

A topological Ramsey classification of countable ordinals. II (Q519936)

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scientific article; zbMATH DE number 6699148
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A topological Ramsey classification of countable ordinals. II
scientific article; zbMATH DE number 6699148

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    A topological Ramsey classification of countable ordinals. II (English)
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    31 March 2017
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    Here, the author continues the investigations of the first part [ibid. 147, No. 2, 477--509 (2015)]. He provides optimal values for \(m\) satifying \(\forall l>1 \, \alpha \rightarrow (\text{top} \, \omega^2+1)^k_{l,m}\) when \(\alpha = \omega^{\omega}+1\) or \(\alpha=\omega^{\omega^k}\), for every \(k>1\). He corrects some of the results of the first part.
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    partition of countable ordinal spaces
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    Schreier barrier
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    oscillation map
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    finite Ramsey theorem
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