CAPPABLE CEA SETS AND RAMSEY'S THEOREM

Asher M. Kach, Manuel Lerman, Reed Solomon · 2011

Abstract. We begin a search for degree-theoretic properties that might be used to separate Ramsey’s Theorem for pairs from its stable version in the Reverse Mathematical sense. This paper in-troduces the notion of c-cappability and shows that this property cannot be used to obtain such a separation when combined with 2-CEA-ness. 1.

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