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OverviewThe 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. Full Product DetailsAuthor: Vassilios GregoriadesPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.162kg ISBN: 9781470415631ISBN 10: 1470415631 Pages: 87 Publication Date: 30 April 2016 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction The spaces $\mathcal{N}^T$ Kleene spaces Characterizations of $\mathcal{N}$ up to $\Delta^1_1$ isomorphism Spector-Gandy spaces Questions and related results Bibliography IndexReviewsAuthor InformationVassilios Gregoriades, Institut fur Analysis und Algebra, Technische Universitat Darmstadt, Germany. Tab Content 6Author Website:Countries AvailableAll regions |