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Classes of Polish Spaces Under Effective Borel Isomorphism

Vassilios Gregoriades author

Format:Paperback

Publisher:American Mathematical Society

Published:30th Apr '16

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Classes of Polish Spaces Under Effective Borel Isomorphism cover

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.

ISBN: 9781470415631

Dimensions: unknown

Weight: 162g

87 pages