Classification Theory for Abstract Elementary Classes: v. 18 (Studies in Logic Series) - Softcover

Shelah, Saharon

 
9781904987710: Classification Theory for Abstract Elementary Classes: v. 18 (Studies in Logic Series)
Softcover
ISBN 10: 1904987710 ISBN 13: 9781904987710
Verlag: College Publications, 2009

Inhaltsangabe

An abstract elementary class is a class of structures of the same vocabulary (like a class of rings, or a class of fields), with a partial order that generalizes the relation "A is a substructure (or an elementary substructure) of B". The requirements are that the class is closed under isomorphism, and that isomorphic structures have isomorphic (generalized) substructures; we also require that our classes share some of the most basic properties of elementary classes, like closure under unions of increasing chains of substructures.We would like to classify this general family; in the sense of proving dichotomies: either we can understand the structure of all models in our class or there are many to some extent. More specifically we would like to generalize the theory about categoricity and superstability to this context.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

An abstract elementary class is a class of structures of the same vocabulary (like a class of rings, or a class of fields), with a partial order that generalizes the relation "A is a substructure (or an elementary substructure) of B". The requirements are that the class is closed under isomorphism, and that isomorphic structures have isomorphic (generalized) substructures; we also require that our classes share some of the most basic properties of elementary classes, like closure under unions of increasing chains of substructures. We would like to classify this general family; in the sense of proving dichotomies: either we can understand the structure of all models in our class or there are many to some extent. More specifically we would like to generalize the theory about categoricity and superstability to this context.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
College Publications
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
1904987710
ISBN 13 
9781904987710
Einband
Tapa blanda
Anzahl der Seiten
824
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9781904987727: Classification Theory for Abstract Elementary Classes: Volume 2: v. 20 (Logic S.)

Vorgestellte Ausgabe

ISBN 10:  1904987729 ISBN 13:  9781904987727
Verlag: College Publications, 2009
Softcover