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Bulletin of the London Mathematical Society
Article . 1987 . Peer-reviewed
License: Wiley Online Library User Agreement
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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What is a Structure Theory?

What is a structure theory?
Authors: Hodges, Wilfrid;

What is a Structure Theory?

Abstract

The aim of this paper is to give an approach to Shelah's classification theory. The author has the sure hope that the ideas of classification theory will find good applications beyond the confines of model theory. So he discusses them in the form of pictures, sometimes rather vague, of how things ought to be. The paper is built around eleven ideas. The most useful notions are those of dimension and good complete first order class, i.e. such a complete class that every structure in it can be specified up to isomorphism by dimensional invariants of the fixed kind. The author concentrates on these notions and a few ideas connected with them. There are illustrative examples in the paper, too.

Related Organizations
Keywords

dimension, stable theory, dop, otop, good complete first order class, Classification theory, stability, and related concepts in model theory, superstable theory, classification theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Average
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