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Pedro H . Zambrano
  • Departamento de Matemáticas, Universidad Nacional de Colombia, AK 30 45-03 postal code 111321, Bogotá Colombia
  • PBX +57 1 316 5000 ext. 13163
In this talk, we prove of some model-theoretical basic facts which hold in Covers of Multiplicative Groups of an Algebraically Closed Field of characteristic 0, in order to study its model-theoretical be- haviour using tools from the... more
In this talk, we prove of some model-theoretical basic facts
which hold in Covers of Multiplicative Groups of an Algebraically Closed
Field of characteristic 0, in order to study its model-theoretical be-
haviour using tools from the Model Theory of Non-Elementary Classes.
En clases elementales abstractas, una noción débil de superestabilidad corresponde a la existencia y unicidad de modelos límite (trabajo de Grossberg, VanDieren y Villaveces). En esta charla presentaremos algunos resultados parciales... more
En clases elementales abstractas, una noción débil de superestabilidad corresponde a la existencia y unicidad de modelos límite (trabajo de Grossberg, VanDieren y Villaveces). En esta charla presentaremos algunos resultados parciales apuntando a probar un resultado similar en el contexto de las clases elementales abstractas métricas.
In this talk, We will give some basic facts in Metric Abstract Elementary Classes. Also, we will give some basic facts relative to a notion of independence which we will use for understanding a version of superstability -uniqueness of... more
In this talk, We will give some basic facts in Metric Abstract Elementary Classes. Also, we will give some basic facts relative to a notion of independence which we will use for understanding a version of superstability -uniqueness of limit models- in this setting.
In this talk, we will prove that the completion of unions of an increasing and continuous chain of reduced towers is reduced and also the density of reduced towers, in the setting of Metric Abstract Elementary Classes. These are important... more
In this talk, we will prove that the completion of unions of an increasing and continuous chain of reduced towers is reduced and also the density of reduced towers, in the setting of Metric Abstract Elementary Classes. These are important steps towards proving the uniqueness of limit models in the setting of Abstract Elementary Classes.