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

Geometry & Topology

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Description

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.

Product Specifications

Format: paperback
ASIN: 1470415631
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 30 March 2016
Listed Since: 17 December 2015

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

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