Classification Theory for Abstract Elementary Classes

Name: Classification Theory for Abstract Elementary Classes
Brand: College Publications
Availability: OutOfStock
Rating: 5 (1 reviews)

By Saharon Shelah

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Description

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.

Product details

Binding:

Paperback

Number of Pages:

824

Release Date:

2009-04-30

Publication Date:

2009-04-24

Publisher:

College Publications

Languages:

Original: English

ISBN10:

1904987710

ISBN13:

9781904987710

GPSR Manufacturer Reference:

[email protected]

Weight:

1226 g

Height:

156 cm

Width:

234 cm

Thickness:

44 cm

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