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arxiv: 1206.1603 · v1 · pith:EA4L7HU3new · submitted 2012-06-07 · 🧮 math.LO

Cupping with random sets

classification 🧮 math.LO
keywords k-trivialml-cuppableonlybelowcuppabilitycuppingfurtherintroduced
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We prove that a set is K-trivial if and only if it is not weakly ML-cuppable. Further, we show that a set below zero jump is K-trivial if and only if it is not ML-cuppable. These results settle a question of Ku\v{c}era, who introduced both cuppability notions.

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