| eBook ISBN: | 978-1-4704-2822-8 |
| Product Code: | MEMO/240/1135.E |
| List Price: | $79.00 |
| MAA Member Price: | $71.10 |
| AMS Member Price: | $47.40 |
| eBook ISBN: | 978-1-4704-2822-8 |
| Product Code: | MEMO/240/1135.E |
| List Price: | $79.00 |
| MAA Member Price: | $71.10 |
| AMS Member Price: | $47.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 240; 2015; 87 ppMSC: Primary 03
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.
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Table of Contents
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Chapters
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Preface
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1. Introduction
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2. The spaces \ensuremath{\ensuremath{\mathcal{N}}^{T}}
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3. Kleene spaces
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4. Characterizations of \ensuremath{\mathcal{N}} up to \ensuremath{Δ^{1}_{1}} isomorphism
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5. Spector-Gandy spaces
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6. Questions and related results
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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.
-
Chapters
-
Preface
-
1. Introduction
-
2. The spaces \ensuremath{\ensuremath{\mathcal{N}}^{T}}
-
3. Kleene spaces
-
4. Characterizations of \ensuremath{\mathcal{N}} up to \ensuremath{Δ^{1}_{1}} isomorphism
-
5. Spector-Gandy spaces
-
6. Questions and related results
