Simplicity in Compact Abstract Theories

Simplicity in Compact Abstract Theories
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紧凑抽象理论的简单性

DOI:
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发表时间:
2003
影响因子:
0.9
通讯作者:
Itay Ben
Itay Ben
中科院分区:
数学1区
文献类型:
--
作者:
Itay Ben

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我们继续[2],在紧凑抽象理论的框架内发展简单性。由于上下文的一般性,我们需要引入与一阶理论中使用的定义略有不同的定义。有了这些改进的工具,我们或多或少地获得了经典的行为:简单性的特征是存在某种独立的概念,稳定性的特征是简单性和有界多重性,以及超想象的正则基的存在。
We continue [2], developing simplicity in the framework of compact abstract theories. Due to the generality of the context we need to introduce definitions which differ somewhat from the ones use in first order theories. With these modified tools we obtain more or less classical behaviour: simplicity is characterized by the existence of a certain notion of independence, stability is characterized by simplicity and bounded multiplicity, and hyperimaginary canonical bases exist.