Download or read book Classes of Polish Spaces Under Effective Borel Isomorphism written by Vassilios Gregoriades and published by American Mathematical Soc.. This book was released on 2016-03-10 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the equivalence classes under Δ11 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 Δ11-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.