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Uncountably Categorical Theories
     

Uncountably Categorical Theories

by Boris I. Zilber
 

ISBN-10: 0821845861

ISBN-13: 9780821845868

Pub. Date: 03/09/1993

Publisher: American Mathematical Society

The 1970s saw the appearance and development in categoricity theory of a tendency to focus on the study and description of uncountably categorical theories in various special classes defined by natural algebraic or syntactic conditions. There have thus been studies of uncountably categorical theories of groups and rings, theories of a one-place function, universal

Overview

The 1970s saw the appearance and development in categoricity theory of a tendency to focus on the study and description of uncountably categorical theories in various special classes defined by natural algebraic or syntactic conditions. There have thus been studies of uncountably categorical theories of groups and rings, theories of a one-place function, universal theories of semigroups, quasivarieties categorical in infinite powers, and Horn theories. In Uncountably Categorical Theories, this research area is referred to as the special classification theory of categoricity. Zilber's goal is to develop a structural theory of categoricity, using methods and results of the special classification theory, and to construct on this basis a foundation for a general classification theory of categoricity, that is, a theory aimed at describing large classes of uncountably categorical structures not restricted by any syntactic or algebraic conditions.

Product Details

ISBN-13:
9780821845868
Publisher:
American Mathematical Society
Publication date:
03/09/1993
Series:
Translations of Mathematical Monographs Series , #11
Pages:
122

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