In the mathematical field of model theory, a theory is called stable if it satisfies certain combinatorial restrictions on its complexity. Definition and alternate... · Geometric stability theory

22 дек. 2019 г. · Stability theory (in logic) · A branch of model theory that provides a structure theory for models of first-order theories. · Let S(A) denote the ...

26 июл. 2016 г. · Stability theory, also referred to a classification theory, is a means to determine whether the isomorphism types of a given sort of structure ...

Introduction. Stability theory is a set of ideas and techniques in model theory that originated in Morley's proof in the 60's of the Los conjecture: if a ...

Among stable theories are the theory of algebraically closed fields, the theory of differentially closed fields, as well as the theory of abelian groups. (in ...

7 июл. 2020 г. · I am going to explain some motivation by relating this definition to stability to other definitions, and discussing some examples. Shelah's book on "Classification Theory" - MathOverflow Stability theory in the context of ω-stable theories - MathOverflow Stability and complete types (in Model Theory) - MathOverflow Countable model theory for ω-stable theories? - MathOverflow Другие результаты с сайта mathoverflow.net

27 авг. 2017 г. · Model theory studies complete first-order theories T, equivalently structures up to elementary equivalence, and their corresponding categories ...

30 июл. 2024 г. · Stable theories are a key concept in model theory, focusing on theories with well-behaved type spaces. They sit between simple and superstable theories.

5 сент. 2007 г. · 2. Page 14. 14. CHAPTER 2. ϕ-TYPES, STABILITY AND SIMPLICITY. Definition 2.21 The theory T is stable if all formulas are stable in T, otherwise ...

CO-STABILITY Stability is an hypothesis on the "complexity" of the family of definable sets in a model. Generally we talk of stability, superstability, co- ...