Classification Theory for Abstract Elementary Classes

Autor: Saharon Shelah

Jazyk:

Vazba: Brožovaná

Vydavatel: College Publications

Dostupnost: Skladem u dodavatele

Odesíláme za 9-15 dnů

887 Kč

An abstract elementary class is a class of structures of the same vocabulary (like a class of rings...

Informace o knize

Autor

Saharon Shelah

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2009

Stránek

824

EAN

9781904987710

ISBN

1904987710

Enbook ID

04317847

Vydavatel

College Publications

Hmotnost

1166

Rozměry

235 x 156 x 44

Kompletní popis

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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Classification Theory for Abstract Elementary Classes

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