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101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSimple theories and hyperimaginaries /$fEnrique Casanovas
205   $a1st ed.
210   $aNew York $cCambridge University Press$d2011
215   $a1 online resource (xiv, 169 pages) $cdigital, PDF file(s)
225 1 $aLecture notes in logic ;$v39
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-11955-3 
320   $aIncludes bibliographical references and index.
327   $aPreliminaries -- x, y-Types, stability and simplicity -- x, y-Types and the local rank D -- Forking -- Independence -- The local rank CB x, y (pi) -- Heirs and coheirs -- Stable forking -- Lascar strong types -- The independence theorem -- Canonical bases -- Abstract independence relations -- Supersimple theories -- More ranks -- Hyperimaginaries -- Hyperimaginary forking -- Canonical bases revisited -- Elimination of hyperimaginaries -- Orthogonality and analysability -- Hyperimaginaries in supersimple theories.
330   $aThis book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability and simplicity are presented in full detail. The treatment of the topics is as general as possible, working with stable formulas and types and assuming stability or simplicity of the theory only when necessary. The author offers an introduction to independence relations as well as a full account of canonical bases of types in stable and simple theories. In the last chapters the notions of internality and analyzability are discussed and used to provide a self-contained proof of elimination of hyperimaginaries in supersimple theories.
410  0$aLecture notes in logic ;$v39.
606   $aModel theory
606   $aFirst-order logic
606   $aHyperspace
615  0$aModel theory.
615  0$aFirst-order logic.
615  0$aHyperspace.
676   $a511.3/4
686   $aMAT018000$2bisacsh
700   $aCasanovas$b Enrique$f1957-$01615654
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910806967603321
996   $aSimple theories and hyperimaginaries$93945955
997   $aUNINA