01688nmm a2200253 u 4500001001200000003002700012005001700039007002400056008004100080020001800121050001000139100002100149245005400170260004800224300002900272653001700301653001400318041001900332989003200351490002600383856006000409082001000469520095500479EB001419451EBX0100000000000000091145500000000000000.0cr|||||||||||||||||||||170425 ||| eng a9781316717035 4aQA9.71 aBaldwin, John T.00aFundamentals of stability theorycJohn T. Baldwin aCambridgebCambridge University Pressc2016 axiii, 447 pagesbdigital aModel theory aStability07aeng2ISO 639-2 bCBOaCambridge Books Online0 aPerspectives in logic40uhttps://doi.org/10.1017/9781316717035xVerlag3Volltext0 a511.8 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 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 ω-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