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Superestabilidad en Q-Clases Elementales Abstractas
Superstability in Q-Abstract Elementary Clases
Keywords:
Q-Clase Elemental Abstracta, superestabilidad, teorema de Shelah-Villaveces, ruptura, carácter local de la no-ruptura (es)Q-Abstract Elementary Class, superstability, Shelah-Villaveces Theorem, splitting, local character of non-splitting (en)
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En 2006 Andrew Coppola introdujo el concepto de Q-Clase Elemental Abstracta como una generalización de la clase de modelos de una sentencia en la lógica Lω1, ω (Q) [5]. Basado en [7], Coppola hace una adaptación del argumento de transferencia de categoricidad de Grossberg y VanDieren bajo tres supuestos adicionales. Para justificar uno de los supuestos hechos por Coppola, en [13] se hace una adaptación de los conceptos básicos de superestabilidad en Clases Elementales Abstractas para justificar uno de los supuestos hechos por Coppola. El objetivo de este resumen extendido es explicar esta adaptación de una manera esquemática.
In 2006 Andrew Coppola introduced the Q-Abstract Elementary Class concept as a generalization of the class of models of a sentence in the logic Lω1, ω (Q) [5]. Based on [7], Coppola makes an adaptation of the Grossberg and VanDieren argument of categoricity transfer under three additional assumptions. To justify one of Coppola's assumptions, an adaptation of basic superestability concepts in Abstract Elementary Classes, is made in [13] to justify one of the assumptions of Coppola. The objective of this extended summary is to explain this adaptation in a schematic way.
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