000			02588nam a22003858i 4500
001			CR9781139003728
003			UkCbUP
005			20200124160233.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110124s2011||||enk o ||1 0|eng|d
020			_a9781139003728 (ebook)
020			_z9780521119559 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA9.7 _b.C37 2011
082	0	0	_a511.3/4 _222
100	1		_aCasanovas, Enrique, _d1957- _eauthor.
245	1	0	_aSimple theories and hyperimaginaries / _cEnrique Casanovas.
246	3		_aSimple Theories & Hyperimaginaries
264		1	_aCambridge : _bCambridge University Press, _c2011.
300			_a1 online resource (xiv, 169 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLecture notes in logic ; _v39
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_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.
520			_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.
650		0	_aModel theory.
650		0	_aFirst-order logic.
650		0	_aHyperspace.
776	0	8	_iPrint version: _z9780521119559
830		0	_aLecture notes in logic ; _v39.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139003728
999			_c517845 _d517843