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Une méthode topologique pour L'etude de la propriété de ramsey

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Abstract

The paper is devoted to the study of some particular subclasses of the class of Ramsey sets, each one associated with an ultrafilter onΝ. By topological methods, we show that every such class contains the analytic sets. This generalizes the results of Silver and Mathias on this subject. Furthermore some applications to functional analysis are given, and a discussion of the additivity of these classes and of the Ramsey property of the ultrafilters is presented, under the hypothesis of Martin's Axiom.

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Authors and Affiliations

  1. Equipe d'Analyse Fonctionnelle Equipe de Recherche associée au C.N.R.S., Université Paris VI, Paris, France

    Alain Louveau

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  1. Alain Louveau
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Louveau, A. Une méthode topologique pour L'etude de la propriété de ramsey. Israel J. Math. 23, 97–116 (1976). https://doi.org/10.1007/BF02756789

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  • DOI: https://doi.org/10.1007/BF02756789

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