A Guide to NIP Theories

A Guide to NIP Theories
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NIP 理论指南

DOI:
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
Pierre Simon
Pierre Simon
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文献类型:
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作者:
Pierre Simon

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在过去的十年中,对模型理论家的研究引起了人们的关注,这是由于对O最小结构和有价值领域的应用所致。这本书是第一个关于nip理论的书,是对主题的介绍,它将吸引对模型理论感兴趣的任何人:该领域的研究生和研究人员,以及附近地区的组合和代数几何形状。如果不介绍任何一个特定的主题,它涵盖了所有基本概念,并为读者提供了在该领域进行研究所需的工具。每章都做出了努力,为主要结果提供简洁明了的途径,并强调最有用的想法。特别强调诚实的定义,处理难以置信的序列和措施。 Logician可以使用其他数学领域的相关材料。
The study of NIP theories has received much attention from model theorists in the last decade, fuelled by applications to o-minimal structures and valued fields. This book, the first to be written on NIP theories, is an introduction to the subject that will appeal to anyone interested in model theory: graduate students and researchers in the field, as well as those in nearby areas such as combinatorics and algebraic geometry. Without dwelling on any one particular topic, it covers all of the basic notions and gives the reader the tools needed to pursue research in this area. An effort has been made in each chapter to give a concise and elegant path to the main results and to stress the most useful ideas. Particular emphasis is put on honest definitions, handling of indiscernible sequences and measures. The relevant material from other fields of mathematics is made accessible to the logician.
关于 NIP 和不变测度
DOI: 10.4171/jems/274
发表时间: 2011
影响因子: 2.6
作者:
Pillay A
通讯作者: Pillay A
NIP 理论中的外部可定义性和群
DOI: 10.1112/jlms/jdu019
发表时间: 2014
期刊: Journal of the London Mathematical Society
影响因子: --
作者:
Chernikov A
通讯作者: Chernikov A