02519nam 2200613 450 991078874600332120180613001304.01-4704-0391-9(CKB)3360000000464977(EBL)3114459(SSID)ssj0000973422(PQKBManifestationID)11514582(PQKBTitleCode)TC0000973422(PQKBWorkID)10978836(PQKB)10425955(MiAaPQ)EBC3114459(RPAM)13336384(PPN)195416805(EXLCZ)99336000000046497720030908h20042004 uy| 0engur|n|---|||||txtccrDescriptive set theory and definable forcing /Jindřich ZapletalProvidence, Rhode Island :American Mathematical Society,[2004]©20041 online resource (158 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 793"Volume 167, number 793 (third of 5 numbers)."0-8218-3450-9 Includes bibliographical references (pages 137-140) and index.""3.5 Other dichotomies""""3.6 Cardinal invariants of the iterated ideals""; ""4 Other forcings""; ""4.1 Illfounded iterations""; ""4.1.1 Strongly proper forcings""; ""4.1.2 The ideals associated with countable length iterations""; ""4.1.3 The properties of the factor ordering""; ""4.1.4 The uncountable length""; ""4.1.5 Sacks forcing iteration""; ""4.2 Towers of ideals""; ""4.2.1 Shooting a club with no infinite subset in the ground model""; ""4.2.2 Shooting a club with finite intersection with every ground model ordertype w set""; ""5 Applications""""D: Large cardinals""""D.1 The absoluteness results""; ""D.2 The determinacy results""Memoirs of the American Mathematical Society ;no. 793.Descriptive set theoryForcing (Model theory)Continuum hypothesisBorel setsDescriptive set theory.Forcing (Model theory)Continuum hypothesis.Borel sets.510 s511.3/22Zapletal Jindřich1969-311811MiAaPQMiAaPQMiAaPQBOOK9910788746003321Descriptive set theory and definable forcing1422219UNINA