Fundamentals of Stability Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Baldwin, John T. 作者

译者

1987-12 出版日期

447 页数

$ 180.80 价格

丛书系列

9783540152989 图书编码

Fundamentals of Stability Theory 在线电子书图书标签: 逻辑学 MathLogic Math

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Fundamentals of Stability Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Fundamentals of Stability Theory 在线电子书图书描述

This new volume of the -series is written as an introduction to first order stability theory. It is organized around the the spectrum problem: calculate the number of models a first order theory T has in each uncountable cardinal. To solve this problem a generalization of the notion of algebraic independence "nonforking" was developed. In this text the abstract properties of this relation (in contrast to other books which begin with the technical description). The important notions of orthogonality and regularity are carefully developed: this machinery is then applied to the spectrum problem. Complete proofs of the Vaught conjecture for omega-stable theories are presented here for the first time in book form. Considerable effort has been made by the author to provide much needed examples. In particular, the book contains the first publication of Shelah's infamous example showing the necessity of his methods to solve Vaught's conjecture for omega-stable theories. The connections of abstract stability theory with algebra particularly with the theory of modules are emphasized.

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