Abstract.
We prove versions of the Dual Ramsey Theorem and the Dual Ellentuck Theorem for families of partitions which are defined in terms of games.
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Received: 8 July 1999 Published online: 19 December 2002
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ID="*" The author wishes to thank the Swiss National Science Foundation for supporting him.
The authors thank the referee for helpful comments.
Mathematics Subject Classification (2000): 03E02, 05D10, 03E35
Key words or phrases: Dual Ramsey Theorem – Dual Ellentuck Theorem – Partitions – Games
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Halbeisen, L., Matet, P. A generalization of the Dual Ellentuck Theorem. Arch. Math. Logic 42, 103–128 (2003). https://doi.org/10.1007/s00153-002-0157-8
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DOI: https://doi.org/10.1007/s00153-002-0157-8