Uncountably categorical theories
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Bibliographic Information
Uncountably categorical theories
（Translations of mathematical monographs, v. 117）
American Mathematical Society, c1993
- Other Title
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Neschetno kategorichnye teorii
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:511.3/z642070256886
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Description and Table of Contents
Description
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.
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