Abstract Elementary Classes Motivations and Directions
نویسنده
چکیده
Elementary Classes Motivations and Directions John T. Baldwin Why AEC? Categoricity and Complex Exponentiation Excellence– Generalized Amalgamation Eventual Categoricity Core Mathematics again Abstract Elementary Classes Motivations and Directions
منابع مشابه
Abstract elementary classes and accessible categories
ELEMENTARY CLASSES AND ACCESSIBLE CATEGORIES T. BEKE∗ AND J. ROSICKÝ∗∗ Abstract. We investigate properties of accessible categories with directed colimits and their relationship with categories arising from Shelah’s Abstract Elementary Classes. We also investigate ranks of objects in accessible categories, and the effect of accessible functors on ranks. We investigate properties of accessible c...
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Metric Abstract Elementary Classes (MAECs) correspond to an amalgam of the notions of Abstract Elementary Classes (AECs) and Elementary Class in the Continuous Logic. In this work, we study a proof of uniqueness (up to isomorphism) of Limit Models in MAECs [ViZa10a, Za1x], under superstability-like assumptions. Assuming this uniqueness of Limit Models, it is possible to do a preliminar study of...
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We prove a categoricity transfer theorem for tame abstract elementary classes. Theorem 0.1. Suppose that K is a χ-tame abstract elementary class and satisfies the amalgamation and joint embedding properties and has arbitrarily large models. Let λ ≥ Max{χ,LS(K)}. If K is categorical in λ and λ, then K is categorical in λ. Combining this theorem with some results from [Sh 394], we derive a form o...
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