A generalization of the Dual Ellentuck Theorem |
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Authors: | Halbeisen Lorenz Matet Pierre |
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Affiliation: | (1) Department of Pure Mathematics, David Bates Building, Queen's University Belfast, Belfast BT7 1NN, Northern Ireland. e-mail: halbeis@qub.ac.uk, IE;(2) Université de Caen - CNRS, Mathématiques, BP 5186, 14032 Caen Cedex, France. e-mail: matet@math.unicaen.fr, FR |
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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. Received: 8 July 1999 Published online: 19 December 2002 RID="*" 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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