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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gregoriades, Vassilios, 1981- (Autor)
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
Descripción
Sumario: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.
Notas:"Volume 240, number 1135 (first of 5 numbers), March 2016."
Descripción Física:1 online resource (vii, 87 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 81-83) and index.
ISBN:9781470428228
1470428229
ISSN:0065-9266 ;