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001			290070
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007			cr nn 008mamaa
008			150903s2013 xxu| o |||| 0|eng d
020			_a9781461484684 _99781461484684
024	7		_a10.1007/9781461484684 _2doi
035			_avtls000342492
039		9	_a201509030854 _bVLOAD _c201405050244 _dVLOAD _y201402061127 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA612-612.8
100	1		_aGriffiths, Phillip. _eautor _9320597
245	1	0	_aRational Homotopy Theory and Differential Forms / _cby Phillip Griffiths, John Morgan.
250			_a2nd ed. 2013.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Birkhäuser, _c2013.
300			_axI, 227 páginas 46 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aProgress in Mathematics, _x0743-1643 ; _v16
500			_aSpringer eBooks
505	0		_a1 Introduction -- 2 Basic Concepts -- 3 CW Homology Theorem -- 4 The Whitehead Theorem and the Hurewicz Theorem.-  5 Spectral Sequence of a Fibration -- 6 Obstruction Theory -- 7 Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations -- 8 Postnikov Towers and Rational Homotopy Theory -- 9 deRham's theorem for simplicial complexes -- 10 Differential Graded Algebras -- 11 Homotopy Theory of DGAs -- 12 DGAs and Rational Homotopy Theory -- 13 The Fundamental Group -- 14 Examples and Computations -- 15 Functorality -- 16 The Hirsch Lemma -- 17 Quillen's work on Rational Homotopy Theory -- 18 A1-structures and C1-structures -- 19 Exercises.
520			_a“Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now… The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature.” —Zentralblatt MATH (Review of First Edition)   “The monograph is intended as an introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises. The material is developed with patience and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and its power are elegantly presented. This is an excellent monograph.” —Bulletin of the American Mathematical Society (Review of First Edition)   This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplical complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented.   New to the Second Edition: *Fully-revised appendices including an expanded discussion of the Hirsch lemma *Presentation of a natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theory   With its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aMorgan, John. _eautor _9320598
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781461484677
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4614-8468-4 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c290070 _d290070