Classes of Polish spaces under effective Borel isomorphism
著者
書誌事項
Classes of Polish spaces under effective Borel isomorphism
（Memoirs of the American Mathematical Society, no. 1135）
American Mathematical Society, 2016
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注記
Includes bibliographical references and index
"Volume 240, number 1135 (first of 5 numbers), March 2016"
内容説明・目次
内容説明
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.
目次
Introduction
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
Index
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