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Classes of Polish spaces under effective Borel isomorphism /
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 ant...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2016.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1135. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_ocn938446269 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
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| 008 | 151120t20162015riua ob 001 0 eng d | ||
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| 066 | |c (S | ||
| 020 | |a 9781470428228 |q (online) | ||
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| 020 | |z 9781470415631 |q (alk. paper) | ||
| 020 | |z 1470415631 |q (alk. paper) | ||
| 035 | |a (OCoLC)938446269 | ||
| 050 | 4 | |a QA611.28 |b .G74 2016 | |
| 082 | 0 | 4 | |a 511.3/22 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Gregoriades, Vassilios, |d 1981- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjrjthdMJC8KFwbqvv4W9P | |
| 245 | 1 | 0 | |a Classes of Polish spaces under effective Borel isomorphism / |c Vassilios Gregoriades. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2016. | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (vii, 87 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 240, number 1135 | |
| 588 | 0 | |a Online resource; title from PDF title page (viewed February 16, 2016). | |
| 500 | |a "Volume 240, number 1135 (first of 5 numbers), March 2016." | ||
| 504 | |a Includes bibliographical references (pages 81-83) and index. | ||
| 505 | 0 | 0 | |6 880-01 |t Preface -- |t Introduction -- |t The spaces N [superscript T] -- |t Kleene spaces -- |t Characterizations of N up to [delta][subscript 1][superscript 1] isomorphism -- |t Spector-Gandy spaces -- |t Questions and related results. |
| 520 | |a 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. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Polish spaces (Mathematics) | |
| 650 | 0 | |a Metric spaces. | |
| 650 | 0 | |a Isomorphisms (Mathematics) | |
| 650 | 4 | |a Polish spaces (Mathematics) | |
| 650 | 6 | |a Espaces polonais (Mathématiques) | |
| 650 | 6 | |a Espaces métriques. | |
| 650 | 6 | |a Isomorphismes (Mathématiques) | |
| 650 | 7 | |a Isomorphisms (Mathematics) |2 fast | |
| 650 | 7 | |a Metric spaces |2 fast | |
| 650 | 7 | |a Polish spaces (Mathematics) |2 fast | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Classes of Polish Spaces Under Effective Borel Isomorphism (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGTvPTmqDYhr4CVCvVQxrC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1135. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4901854 |z Texto completo |
| 880 | 0 | 0 | |6 505-01/(S |g Machine generated contents note: |g ch. 1 |t Introduction -- |g 1.1. |t few words about the setting -- |g 1.2. |t basic notions -- |g 1.3. |t Theorems in the general context -- |g 1.4. |t Cantor-Bendixson decomposition -- |g ch. 2 |t spaces NT -- |g 2.1. |t Definition and properties -- |g 2.2. |t Elementary facts about the classes of Δ11 isomorphism -- |g ch. 3 |t Kleene spaces -- |g 3.1. |t Definition and basic properties -- |g 3.2. |t Expanding the toolbox -- |g 3.3. |t Chains and antichains in Kleene spaces under [≤] Δ11 -- |g 3.4. |t Analogy with recursive pseudo-well-orderings -- |g 3.5. |t Incomparable hyperdegrees in Kleene spaces -- |g ch. 4 |t Characterizations of N up to Δ11 isomorphism -- |g 4.1. |t Copies of the complete binary tree -- |g 4.2. |t characterization in terms of the perfect kernel -- |g 4.3. |t measure-theoretic characterization -- |g 4.4. |t tree of attempted embeddings -- |g ch. 5 |t Spector-Gandy spaces -- |g 5.1. |t Spector-Gandy Theorem -- |g 5.2. |t Application to the spaces NT -- |g 5.3. |t Chains and antichains in Spector-Gandy spaces under [≤]δ11 -- |g ch. 6 |t Questions and related results -- |g 6.1. |t Parametrization -- |g 6.2. |t Kleene spaces -- |g 6.3. |t Incomparable and minimal hyperdegrees -- |g 6.4. |t Connections with lattice theory -- |g 6.5. |t Attempted Embeddings and incomparability -- |g 6.6. |t Spector-Gandy spaces -- |g 6.7. |t Connections with Π11 equivalence relations. |
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