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.
具体描述
读后感
评分
评分
评分
评分
用户评价
相关图书
本站所有内容均为互联网搜索引擎提供的公开搜索信息，本站不存储任何数据与内容，任何内容与数据均与本站无关，如有需要请联系相关搜索引擎包括但不限于百度，google,bing,sogou 等
© 2025 book.wenda123.org All Rights Reserved. 图书目录大全 版权所有