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arXiv · 1912.12558

Turing Invariant Sets and the Perfect Set Property

Clovis Hamel·Haim Horowitz·Saharon Shelah
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Abstract

We show that $ZF+DC+$"all Turing invariant sets of reals have the perfect set property" implies that all sets of reals have the perfect set property. We also show that this result generalizes to all countable analytic equivalence relations.

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Clovis Hamel, Haim Horowitz, Saharon Shelah. 2019-12-29. Turing Invariant Sets and the Perfect Set Property. https://arxiv.org/abs/1912.12558

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