Classes of Polish Spaces Under Effective Borel Isomorphism (Memoirs of the American Mathematical Society) by Vassilios Gregoriades
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The author studies the equivalence classes under $Delta^1_1$ isomorphism, otherwise effective Borel isomorphism, between complete separable metric spaces which admit a recursive presentation and he shows the existence of strictly increasing and strictly decreasing sequences as well as of infinite antichains under the natural notion of $Delta^1_1$-reduction, as opposed to the non-effective case, where only two such classes exist, the one of the Baire space and the one of the naturals.From reader reviews:
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