Models of Uncountable Theories Categorical in Power
Title | Models of Uncountable Theories Categorical in Power PDF eBook |
Author | Daniel Marc Andler |
Publisher | |
Pages | |
Release | 1973 |
Genre | |
ISBN |
Uncountable Theories Categorical in a Higher Power
Title | Uncountable Theories Categorical in a Higher Power PDF eBook |
Author | Michael Chris Laskowski |
Publisher | |
Pages | 156 |
Release | 1987 |
Genre | |
ISBN |
Uncountably Categorical Theories
Title | Uncountably Categorical Theories PDF eBook |
Author | Boris Zilber |
Publisher | American Mathematical Soc. |
Pages | 132 |
Release | |
Genre | Mathematics |
ISBN | 9780821897454 |
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.
Model Theory
Title | Model Theory PDF eBook |
Author | C.C. Chang |
Publisher | Courier Corporation |
Pages | 674 |
Release | 2013-10-03 |
Genre | Mathematics |
ISBN | 0486310957 |
This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.
A Guide to Classical and Modern Model Theory
Title | A Guide to Classical and Modern Model Theory PDF eBook |
Author | Annalisa Marcja |
Publisher | Springer Science & Business Media |
Pages | 377 |
Release | 2012-09-10 |
Genre | Philosophy |
ISBN | 9400708122 |
This volume is easily accessible to young people and mathematicians unfamiliar with logic. It gives a terse historical picture of Model Theory and introduces the latest developments in the area. It further provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters. The book is for trainees and professional model theorists, and mathematicians working in Algebra and Geometry.
Models of categorical not countable theories in power
Title | Models of categorical not countable theories in power PDF eBook |
Author | Daniel Andler |
Publisher | |
Pages | 126 |
Release | 1975 |
Genre | |
ISBN |
Fundamentals of Stability Theory
Title | Fundamentals of Stability Theory PDF eBook |
Author | John T. Baldwin |
Publisher | Cambridge University Press |
Pages | 462 |
Release | 2017-03-02 |
Genre | Mathematics |
ISBN | 1107168090 |
This book introduces first order stability theory, organized around the spectrum problem, with complete proofs of the Vaught conjecture for ω-stable theories.