000			03338nam a22004815i 4500
001			978-1-4020-5764-9
003			DE-He213
005			20140220084458.0
007			cr nn 008mamaa
008			100301s2010 ne | s |||| 0|eng d
020			_a9781402057649 _9978-1-4020-5764-9
024	7		_a10.1007/978-1-4020-5764-9 _2doi
050		4	_aQA8.9-10.3
072		7	_aPBC _2bicssc
072		7	_aPBCD _2bicssc
072		7	_aMAT018000 _2bisacsh
082	0	4	_a511.3 _223
100	1		_aForeman, Matthew. _eeditor.
245	1	0	_aHandbook of Set Theory _h[electronic resource] / _cedited by Matthew Foreman, Akihiro Kanamori.
264		1	_aDordrecht : _bSpringer Netherlands, _c2010.
300			_aXIV, 2197p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aStationary Sets -- Partition Relations -- Coherent Sequences -- Borel Equivalence Relations -- Proper Forcing -- Combinatorial Cardinal Characteristics of the Continuum -- Invariants of Measure and Category -- Constructibility and Class Forcing -- Fine Structure -- ? Fine Structure -- Elementary Embeddings and Algebra -- Iterated Forcing and Elementary Embeddings -- Ideals and Generic Elementary Embeddings -- Cardinal Arithmetic -- Successors of Singular Cardinals -- Prikry-Type Forcings -- Beginning Inner Model Theory -- The Covering Lemma -- An Outline of Inner Model Theory -- A Core Model Toolbox and Guide -- Structural Consequences of AD -- Determinacy in (?) -- Large Cardinals from Determinacy -- Forcing over Models of Determinacy.
520			_aThis handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its research directions. Set theory has entered its prime as an advanced and autonomous field of mathematics with foundational significance, and the expanse and variety of this handbook attests to the richness and sophistication of the subject. The chapters are written by acknowledged experts, major research figures in their areas, and they each bring to bear their experience and insights in carefully wrought, self-contained expositions. There is historical depth, elegant development, probing to the frontiers, and prospects for the future. This handbook is essential reading for the aspiring researcher, a pivotal focus for the veteran set theorist, and a massive reference for all those who want to gain a larger sense of the tremendous advances that have been made in the subject, one which first appeared as a foundation of mathematics but in the last several decades has expanded into a broad and far-reaching field with its own self-fueling initiatives.
650		0	_aMathematics.
650		0	_aLogic.
650		0	_aScience _xPhilosophy.
650		0	_aLogic, Symbolic and mathematical.
650	1	4	_aMathematics.
650	2	4	_aMathematical Logic and Foundations.
650	2	4	_aLogic.
650	2	4	_aPhilosophy of Science.
700	1		_aKanamori, Akihiro. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781402048432
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4020-5764-9
912			_aZDB-2-SMA
999			_c109947 _d109947