A topological Ramsey classification of countable ordinals. II (Q519936)
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scientific article; zbMATH DE number 6699148
| Language | Label | Description | Also known as |
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| English | 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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