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arxiv: 1110.1907 · v1 · pith:ABBCV4VYnew · submitted 2011-10-10 · 🧮 math.LO

Relative to any non-hyperarithmetic set

classification 🧮 math.LO
keywords degreenon-hyperarithmeticcategorydegreesdistinguishindeedlinearmeasure
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We prove that there is a structure, indeed a linear ordering, whose degree spectrum is the set of all non-hyperarithmetic degrees. We also show that degree spectra can distinguish measure from category.

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