Classification Theory for Abstract Elementary Classes (Studies in Logic: Mathematical Logic and Foundations) - Saharon Shelah - Books - College Publications - 9781904987710 - April 24, 2009
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Classification Theory for Abstract Elementary Classes (Studies in Logic: Mathematical Logic and Foundations)

Saharon Shelah

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Classification Theory for Abstract Elementary Classes (Studies in Logic: Mathematical Logic and Foundations)

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.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released April 24, 2009
ISBN13 9781904987710
Publishers College Publications
Pages 824
Dimensions 155 × 40 × 234 mm   ·   1.13 kg
Language English  

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