{"title":"Essential Stability Theory","authors":"S. Buechler","doi":"10.1017/9781316717257","DOIUrl":null,"url":null,"abstract":"Stability theory began in the early 1960s with the work of Michael Morley, and progressed in the 1970s through Shelah's research in model-theoretic classification theory. In the mid-1990s, stability theory both influences and is influenced by number theory, algebraic group theory, Riemann surfaces and representation theory of modules. The aim of this text is to provide students with a quick route from basic model theory to research in stability theory, and to give an introduction to classification theory with an exposition of Morley's categoricity theorem.","PeriodicalId":400496,"journal":{"name":"Perspectives in Logic","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Perspectives in Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781316717257","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 19
Abstract
Stability theory began in the early 1960s with the work of Michael Morley, and progressed in the 1970s through Shelah's research in model-theoretic classification theory. In the mid-1990s, stability theory both influences and is influenced by number theory, algebraic group theory, Riemann surfaces and representation theory of modules. The aim of this text is to provide students with a quick route from basic model theory to research in stability theory, and to give an introduction to classification theory with an exposition of Morley's categoricity theorem.
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