Classes of Polish Spaces Under Effective Borel Isomorphism (eBook)

Vassilios Gregoriades (Autor)

eBook Download: PDF

2016
87 Seiten
American Mathematical Society (Verlag)
978-1-4704-2822-8 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 3.10.2016
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-2822-9 / 1470428229
• ISBN-13: 978-1-4704-2822-8 / 9781470428228