{"product_id":"proper-and-improper-forcing-hardback-9781107168367","title":"Proper and Improper Forcing (Hardback) 9781107168367","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eProper and Improper Forcing\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book presents the theory of proper forcing and its relatives from the beginning. No prior knowledge of forcing is required.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eSaharon Shelah (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107168367, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 23 March 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1066 pages\u003cbr\u003e24 x 15.8 x 6.2 cm, 1.7 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. This volume, the fifth publication in the Perspectives in Logic series, studies set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. The author gives a complete presentation of the theory of proper forcing and its relatives, starting from the beginning and avoiding the metamathematical considerations. No prior knowledge of forcing is required. The book will enable a researcher interested in an independence result of the appropriate kind to have much of the work done for them, thereby allowing them to quote general results.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e 1. Forcing, basic facts\u003cbr\u003e 2. Iteration of forcing\u003cbr\u003e 3. Proper forcing\u003cbr\u003e 4. On oracle-c.c., the lifting problem of the measure algebra, and 'P(w)\/finite has no trivial automorphism'\u003cbr\u003e 5. ?-properness and not adding reals\u003cbr\u003e 6. Preservation of additional properties, and applications\u003cbr\u003e 7. Axioms and their application\u003cbr\u003e 8. ?-pic and not adding reals\u003cbr\u003e 9. Souslin hypothesis does not imply 'every Aronszajn tree is special'\u003cbr\u003e 10. On semi-proper forcing\u003cbr\u003e 11. Changing confinalities\u003cbr\u003e equi-consistency results\u003cbr\u003e 12. Improper forcing\u003cbr\u003e 13. Large ideals on w1\u003cbr\u003e 14. Iterated forcing with uncountable support\u003cbr\u003e 15. A more general iterable condition ensuring ?1 is not collapsed\u003cbr\u003e 16. Large ideals on ?1 from smaller cardinals\u003cbr\u003e 17. Forcing axioms\u003cbr\u003e 18. More on proper forcing\u003cbr\u003e Appendix. On weak diamonds and the power of ext\u003cbr\u003e References\u003cbr\u003e More references.\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":46004373422360,"sku":"9781107168367","price":136.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107168367i_0bb55b0c-ef5d-438e-a9f5-8ffa20f9aced.jpg?v=1691362520","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/proper-and-improper-forcing-hardback-9781107168367","provider":"Freshly Printed Books","version":"1.0","type":"link"}