01592nmm a2200265 u 4500001001200000003002700012005001700039007002400056008004100080020001800121050001000139100002200149245011000171260004800281300002300329653001500352653002700367653001500394041001900409989003200428490002700460856006000487082001200547520076700559EB001419507EBX0100000000000000091151100000000000000.0cr|||||||||||||||||||||170425 ||| eng a9781316716977 4aQA2481 aMiller, Arnold W.00aDescriptive set theory and forcingbhow to prove theorems about Borel sets the hard waycArnold W. Miller aCambridgebCambridge University Pressc2016 a129 pagesbdigital aSet theory aForcing (Model theory) aBorel sets07aeng2ISO 639-2 bCBOaCambridge Books Online0 aLecture notes in logic uhttps://doi.org/10.1017/9781316716977xVerlag3Volltext0 a511.322 aSince 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 fourth publication in the Lecture Notes in Logic series, Miller develops the necessary features of the theory of descriptive sets in order to present a new proof of Louveau's separation theorem for analytic sets. While some background in mathematical logic and set theory is assumed, the material is based on a graduate course given by the author at the University of Wisconsin, Madison, and is thus accessible to students and researchers alike in these areas, as well as in mathematical analysis