Könyv Classification Theory for Abstract Elementary Classes Saharon Shelah

Classification Theory for Abstract Elementary Classes

Szerző: Saharon Shelah
Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 9-15 napon belül
14 727 Ft
An abstract elementary class is a class of structures of the same vocabulary (like a class of rings...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2009
oldal
824
EAN
9781904987710
ISBN
1904987710
Enbook ID
04317847
Súly
1166
Méretek
235 x 156 x 44

Teljes leírás

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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