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On Relative $\gamma_{k}$ -Sets

Maddalena Bonanzinga; Filippo Cammaroto; Bruno A. Pansera — 2007

Bollettino dell'Unione Matematica Italiana

In this note we show a relative version of $\gamma_{k}$ -set introduced and studied in [12]. We give several characterizations of this property; in particular one of the characterizations is Ramsey theoretical. Also we give a result involving a property of the corresponding mapping between function spaces.

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