Model theory

Stability spectrum

In model theory, a branch of mathematical logic, a complete first-order theory T is called stable in λ (an infinite cardinal number), if the Stone space of every model of T of size ≤ λ has itself size ≤ λ. T is called a stable theory if there is no upper bound for the cardinals κ such that T is stable in κ. The stability spectrum of T is the class of all cardinals κ such that T is stable in κ. For countable theories there are only four possible stability spectra. The corresponding are those for total transcendentality, superstability and stability. This result is due to Saharon Shelah, who also defined stability and superstability. (Wikipedia).

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From playlist Physics

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From playlist Stable Homotopy Seminar

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From playlist Natural Sciences

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From playlist Engineering Math: Differential Equations and Dynamical Systems

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From playlist Trimestre "Ondes Non linéaires" - Summer school

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Related pages

Type (model theory) | Complete theory | Spectrum of a theory | Morley rank | Mathematical logic | Model theory | Stable theory | Structure (mathematical logic) | Cardinal number