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A topological Ramsey classification of countable ordinals

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Publication:519935
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DOI10.1007/s10474-014-0413-5zbMath1374.03030OpenAlexW2026059181MaRDI QIDQ519935

Claribet Piña

Publication date: 31 March 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0413-5


zbMATH Keywords

Ramsey theoremoscillation mappartition of countable ordinal spacesSchreier barrier


Mathematics Subject Classification ID

Ramsey theory (05D10) Partition relations (03E02)


Related Items (6)

Calculating the closed ordinal Ramsey number \(R^{cl}(\omega \cdot 2,3)\) ⋮ Topological Ramsey numbers and countable ordinals ⋮ Topological partition relations for countable ordinals ⋮ A topological Ramsey classification of countable ordinals. II ⋮ A partition relation for pairs on \(\omega ^{\omega ^\omega }\) ⋮ The closed ordinal Ramsey number 𝑅^{𝑐𝑙}(𝜔²,3)=𝜔⁶



Cites Work

  • Unnamed Item
  • Partition relations for countable topological spaces
  • Oscillations of sets of integers
  • Introduction to Ramsey Spaces (AM-174)


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