This second volume contains introductions to real-valued logic and applications, abstract elementary classes and applications, interconnections between model theory and function spaces, nonstucture theory, and model theory of second-order logic.
This second volume contains introductions to real-valued logic and applications, abstract elementary classes and applications, interconnections between model theory and function spaces, nonstucture theory, and model theory of second-order logic.
Jose Iovino is a professor of Mathematics at The University of Texas at San Antonio. His research is in model theory and its applications. He is the author of the monograph Applications of Model Theory to Functional Analysis (Dover Publications, 2014), a co-author of Analysis and Logic (Cambridge University Press, 2003), and the editor of the first volume of Beyond First Order Model Theory (CRC Press, 2017).
Inhaltsangabe
I. Real-Valued Structures and Applications. 1. Metastable Convergence and Logical Compactness. 2. Model Theory for Real-Valued Structures. 3. Spectral Gap and Definability. II. Abstract Elementary Classes and Applications. 4. Lf groups, AEC amalgamation, few automorphisms. III. Model Theory and Topology of Spaces of Functions. 5. Cp-Theory for Model Theorists. IV. Constructing Many Models. 6. General Non-Structure Theory. V. Model Theory of Second Order Logic. 7. Model Theory of Second Order Logic.
I. Real-Valued Structures and Applications. 1. Metastable Convergence and Logical Compactness. 2. Model Theory for Real-Valued Structures. 3. Spectral Gap and Definability. II. Abstract Elementary Classes and Applications. 4. Lf groups, AEC amalgamation, few automorphisms. III. Model Theory and Topology of Spaces of Functions. 5. Cp-Theory for Model Theorists. IV. Constructing Many Models. 6. General Non-Structure Theory. V. Model Theory of Second Order Logic. 7. Model Theory of Second Order Logic.
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