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Classification Theory for Abstract Elementary Classes by Saharon Shelah (2009, Trade Paperback)

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About this product

Product Identifiers

PublisherCollege Publications

ISBN-101904987710

ISBN-139781904987710

eBay Product ID (ePID)73404564

Product Key Features

Number of Pages824 Pages

LanguageEnglish

Publication NameClassification Theory for Abstract Elementary Classes

SubjectIntelligence (Ai) & Semantics, Logic

Publication Year2009

TypeTextbook

AuthorSaharon Shelah

Subject AreaMathematics, Computers

FormatTrade Paperback

Dimensions

Item Height1.6 in

Item Weight40.1 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Dewey Edition22

Dewey Decimal511.3

SynopsisAn 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.