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008			100301s2010 xxu| s |||| 0|eng d
020			_a9780817649135 _9978-0-8176-4913-5
040			_cMX-MeUAM
050		4	_aQA611-614.97
082	0	4	_a514 _223
100	1		_aKapovich, Michael. _eauthor.
245	1	0	_aHyperbolic Manifolds and Discrete Groups _h[recurso electrónico] / _cby Michael Kapovich.
264		1	_aBoston : _bBirkhäuser Boston, _c2010.
300			_aXXVII, 467p. 78 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aModern Birkhäuser Classics
505	0		_aThree-Dimensional Topology -- Thurston Norm -- Geometry of Hyperbolic Space -- Kleinian Groups -- Teichmüller Theory of Riemann Surfaces -- to Orbifold Theory -- Complex Projective Structures -- Sociology of Kleinian Groups -- Ultralimits of Metric Spaces -- to Group Actions on Trees -- Laminations, Foliations, and Trees -- Rips Theory -- Brooks’ Theorem and Circle Packings -- Pleated Surfaces and Ends of Hyperbolic Manifolds -- Outline of the Proof of the Hyperbolization Theorem -- Reduction to the Bounded Image Theorem -- The Bounded Image Theorem -- Hyperbolization of Fibrations -- The Orbifold Trick -- Beyond the Hyperbolization Theorem.
520			_aThis classic book is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on Thurston’s hyperbolization theorem, one of the central results of 3-dimensional topology that has completely changed the landscape of the field. The book contains a number of open problems and conjectures related to the hyperbolization theorem as well as rich discussions on related topics including geometric structures on 3-manifolds, higher dimensional negatively curved manifolds, and hyperbolic groups. Featuring beautiful illustrations, a rich set of examples, numerous exercises, and an extensive bibliography and index, Hyperbolic Manifolds and Discrete Groups continues to serve as an ideal graduate text and comprehensive reference. The book is very clearly written and fairly self-contained. It will be useful to researchers and advanced graduate students in the field and can serve as an ideal guide to Thurston's work and its recent developments. ---Mathematical Reviews Beyond the hyperbolization theorem, this is an important book which had to be written; some parts are still technical and will certainly be streamlined and shortened in the next years, but together with Otal's work a complete published proof of the hyperbolization theorem is finally available. Apart from the proof itself, the book contains a lot of material which will be useful for various other directions of research. ---Zentralbatt MATH This book can act as source material for a postgraduate course and as a reference text on the topic as the references are full and extensive. ... The text is self-contained and very well illustrated. ---ASLIB Book Guide
650		0	_aMathematics.
650		0	_aGroup theory.
650		0	_aGeometry.
650		0	_aTopology.
650		0	_aCell aggregation _xMathematics.
650	1	4	_aMathematics.
650	2	4	_aTopology.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aGeometry.
650	2	4	_aManifolds and Cell Complexes (incl. Diff.Topology).
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817649128
830		0	_aModern Birkhäuser Classics
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-4913-5
596			_a19
942			_cLIBRO_ELEC
999			_c198300 _d198300