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A recursion theoretic characterization of the Topological Vaught Conjecture in the Zermelo‐Fraenkel set theory

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AbstractWe prove a recursion theoretic characterization of the Topological Vaught Conjecture in the Zermelo‐Fraenkel set theory by using tools from effective descriptive set theory and by revisiting the result of Miller that orbits in Polish G‐spaces are Borel sets.
Title: A recursion theoretic characterization of the Topological Vaught Conjecture in the Zermelo‐Fraenkel set theory
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AbstractWe prove a recursion theoretic characterization of the Topological Vaught Conjecture in the Zermelo‐Fraenkel set theory by using tools from effective descriptive set theory and by revisiting the result of Miller that orbits in Polish G‐spaces are Borel sets.

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