{"product_id":"fundamentals-of-stability-theory-hardback-9781107168091","title":"Fundamentals of Stability Theory (Hardback) 9781107168091","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFundamentals of Stability Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book introduces first order stability theory, organized around the spectrum problem, with complete proofs of the Vaught conjecture for ?-stable theories.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJohn T. Baldwin (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107168091, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 2 March 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e461 pages, 51 b\/w illus.\u003cbr\u003e24 x 16.2 x 3.4 cm, 0.88 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eSince their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the twelfth publication in the Perspectives in Logic series, John T. Baldwin presents an introduction to first order stability theory, organized around the spectrum problem: calculate the number of models a first order theory T has in each uncountable cardinal. The author first lays the groundwork and then moves on to three sections: independence, dependence and prime models, and local dimension theory. The final section returns to the spectrum problem, presenting complete proofs of the Vaught conjecture for ?-stable theories for the first time in book form. The book provides much-needed examples, and emphasizes the connections between abstract stability theory and module theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eAcknowledgements\u003cbr\u003e 1. Groundwork\u003cbr\u003e Part I. Independence: 2. The abstract notion of independence\u003cbr\u003e 3. Forking\u003cbr\u003e 4. Finite equivalence relations, definability, and strong types\u003cbr\u003e 5. Indiscernibles in stable theories\u003cbr\u003e 6. Orthogonality\u003cbr\u003e 7. Rank\u003cbr\u003e 8. Normalization and Teq\u003cbr\u003e Part II. Dependence and Prime Models: 9. Atomic and prime models\u003cbr\u003e 10. Freeness and isolation\u003cbr\u003e Part III. Local Dimension Theory: 11. Acceptable classes\u003cbr\u003e 12. Regular types\u003cbr\u003e 13. Decomposition theorems and weight\u003cbr\u003e Part IV. The Number of Models: 14. The construction of many nonisomorphic models\u003cbr\u003e 15. The width of a theory\u003cbr\u003e 16. The dimensional order property\u003cbr\u003e 17. NDOP: theories without the dimensional order property\u003cbr\u003e 18. Vaught and Morley conjectures for ?-stable countable theories\u003cbr\u003e Bibliography\u003cbr\u003e Subject index\u003cbr\u003e Symbol index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Differential calculus \u0026amp; equations [\u003ca title=\"See our other books on Differential calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Differential%20calculus%20\u0026amp;%20equations%20%5BPBKJ%5D%22\"\u003ePBKJ\u003c\/a\u003e], Algebra [\u003ca title=\"See our other books on Algebra\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Algebra%20%5BPBF%5D%22\"\u003ePBF\u003c\/a\u003e], Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265652511000,"sku":"9781107168091","price":158.55,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107168091i.jpg?v=1692025347","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fundamentals-of-stability-theory-hardback-9781107168091","provider":"Freshly Printed Books","version":"1.0","type":"link"}