Classification Theory for Abstract Elementary Classes - Couverture souple

Shelah, Saharon

 
9781904987710: Classification Theory for Abstract Elementary Classes

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.

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Autres éditions populaires du même titre

9781904987727: Classification Theory for Abstract Elementary Classes: Volume 2

Edition présentée

ISBN 10 :  1904987729 ISBN 13 :  9781904987727
Editeur : College Publications, 2009
Couverture souple