Generalized Descriptive Set Theory and Classification Theory - Couverture souple

Friedman, Sy-David; Hyttinen, Tapani; Kulikov, Vadim

Couverture souple

ISBN 10 : 0821894757 ISBN 13 : 9780821894750

Editeur : American Mathematical Society, 2014

Synopsis

Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper the authors study the generalization where countable is replaced by uncountable. They explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility. The study shows that the descriptive set theory looks very different in this generalized setting compared to the classical, countable case. They also draw the connection between the stability theoretic complexity of first-order theories and the descriptive set theoretic complexity of their isomorphism relations. The authors' results suggest that Borel reducibility on uncountable structures is a model theoretically natural way to compare the complexity of isomorphism relations.

A propos du livre

À propos de l?auteur

Sy-David Friedman, Kurt Godel Research Center, Vienna, Austria.

Tapani Hyttinen, University of Helsinki, Finland.

Vadim Kulikov, Kurt Godel Research Center, Vienna, Austria.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2014
• Langue: anglais
• ISBN 10: 0821894757
• ISBN 13: 9780821894750
• Reliure: Broché
• Nombre de pages: 80
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible