{"product_id":"fine-structure-and-iteration-trees-hardback-9781107169098","title":"Fine Structure and Iteration Trees (Hardback) 9781107169098","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFine Structure and Iteration Trees\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book constructs an inner model with a Woodin cardinal and develops its fine structure theory using the theory of iteration trees.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eWilliam J. Mitchell (Author), John R. Steel (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107169098, 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\"\u003e136 pages, 1 b\/w illus.\u003cbr\u003e22.9 x 15.2 x 1.1 cm, 0.3 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 third publication in the Lecture Notes in Logic series, Mitchell and Steel construct an inner model with a Woodin cardinal and develop its fine structure theory. This work builds upon the existing theory of a model of the form L[E], where E is a coherent sequence of extenders, and relies upon the fine structure theory of L[E] models with strong cardinals, and the theory of iteration trees and 'backgrounded' L[E] models with Woodin cardinals. This work is what results when fine structure meets iteration trees.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e 1. Good extender sequences\u003cbr\u003e 2. Fine structure\u003cbr\u003e 3. Squashed mice\u003cbr\u003e 4. Ultrapowers\u003cbr\u003e 5. Iteration trees\u003cbr\u003e 6. Uniqueness of wellfounded branches\u003cbr\u003e 7. The comparison process\u003cbr\u003e 8. Solidarity and condensation\u003cbr\u003e 9. Uniqueness of the next extender\u003cbr\u003e 10. Closure under initial segment\u003cbr\u003e 11. The construction\u003cbr\u003e 12. Iterability\u003cbr\u003e References\u003cbr\u003e Index of definitions\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Set theory [\u003ca title=\"See our other books on Set theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Set%20theory%20%5BPBCH%5D%22\"\u003ePBCH\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":46265651888408,"sku":"9781107169098","price":88.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107169098i.jpg?v=1692025338","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fine-structure-and-iteration-trees-hardback-9781107169098","provider":"Freshly Printed Books","version":"1.0","type":"link"}