Classes of Polish Spaces Under Effective Borel Isomorphism
Seiten
2016
American Mathematical Society (Verlag)
978-1-4704-1563-1 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-1563-1 (ISBN)
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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.
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.
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.
Vassilios Gregoriades, Institut fur Analysis und Algebra, Technische Universitat Darmstadt, Germany.
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
| Erscheinungsdatum | 02.04.2016 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 162 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 1-4704-1563-1 / 1470415631 |
| ISBN-13 | 978-1-4704-1563-1 / 9781470415631 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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