Classes of Polish Spaces Under Effective Borel Isomorphism

Download or Read eBook Classes of Polish Spaces Under Effective Borel Isomorphism PDF 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.
Classes of Polish Spaces Under Effective Borel Isomorphism
Author :
Publisher : American Mathematical Soc.
Total Pages : 102
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ISBN-10 : 9781470415631
ISBN-13 : 1470415631
Rating : 4/5 (31 Downloads)

Book Synopsis Classes of Polish Spaces Under Effective Borel Isomorphism by : Vassilios Gregoriades

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.


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