Articles liés à Classification Theory for Abstract Elementary Classes

Classification Theory for Abstract Elementary Classes - Couverture souple

Shelah, Saharon

 
9781904987710: Classification Theory for Abstract Elementary Classes
Couverture souple
ISBN 10 : 1904987710 ISBN 13 : 9781904987710
Editeur : College Publications, 2009

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
College Publications
Date d'édition
2009
Langue
anglais
ISBN 10 
1904987710
ISBN 13 
9781904987710
Reliure
Broché
Nombre de pages
824
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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