[PDF.73zq] Classes of Polish Spaces Under Effective Borel Isomorphism (Memoirs of the American Mathematical Society)

Classes of Polish Spaces Under Effective Borel Isomorphism (Memoirs of the American Mathematical Society)

[PDF.tq80] Classes of Polish Spaces Under Effective Borel Isomorphism (Memoirs of the American Mathematical Society)

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 |  2016-03-02 | Original language:English | File type: PDF | 87 pages

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||About the Author|Vassilios Gregoriades, Institut fur Analysis und Algebra, Technische Universitat Darmstadt, Germany.

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 o...

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