{"product_id":"9780792362210","title":"Mathematics and Its Applications","description":"\u003ch1\u003eMathematics and Its Applications\u003c\/h1\u003e \u003ch2\u003eWagner, Frank O.\u003c\/h2\u003e \u003cp\u003eSimplicity theory is an extension of stability theory to a  wider class of structures, containing, among others, the random graph,  pseudo-finite fields, and fields with a generic automorphism.  Following Kim's proof of `forking symmetry' which implies a good  behaviour of model-theoretic independence, this area of model theory  has been a field of intense study. It has necessitated the development  of some important new tools, most notably the model-theoretic  treatment of hyperimaginaries (classes modulo type-definable  equivalence relations). It thus provides a general notion of  independence (and of rank in the supersimple case) applicable to a  wide class of algebraic structures. \u003cbr\u003e  The basic theory of forking independence is developed, and its  properties in a simple structure are analyzed. No prior knowledge of  stability theory is assumed; in fact many stability-theoretic results  follow either from more general propositions, or are developed in side  remarks. \u003cbr\u003e  \u003cem\u003eAudience:\u003c\/em\u003e This book is intended both as an introduction to  simplicity theory accessible to graduate students with some knowledge  of model theory, and as a reference work for research in the field.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2000-02-29\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780792362210\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-017-3002-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 260\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46539704107148,"sku":"9780792362210","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792362210.jpg?v=1775679250","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780792362210","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}