000			03196nam a22003738i 4500
001			CR9780511691638
003			UkCbUP
005			20200124160237.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100219s2010||||enk o ||1 0|eng|d
020			_a9780511691638 (ebook)
020			_z9780521760379 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA612.7 _b.N45 2010
082	0	0	_a514/.24 _222
100	1		_aNeisendorfer, Joseph, _d1945- _eauthor.
245	1	0	_aAlgebraic methods in unstable homotopy theory / _cJoseph Neisendorfer.
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (xix, 554 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNew mathematical monographs ; _v12
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_tHomotopy groups with coefficients -- _tA general theory of localization -- _tFibre extensions of squares and the Peterson-Stein formula -- _tHilton-Hopf invariants and the EHP sequence -- _tJames-Hopf invariants and Toda-Hopf invariants -- _tSamelson products -- _tBockstein spectral sequences -- _tLie algebras and universal enveloping algebras -- _tApplications of graded Lie algebras -- _tDifferential homological algebra -- _tOdd primary exponent theorems -- _tDifferential homological algebra of classifying spaces.
505	8	0	_tMachine generated contents note: Preface; Introduction; 1. Homotopy groups with coefficients; 2. A general theory of localization; 3. Fibre extensions of squares and the Peterson-Stein formula; 4. Hilton-Hopf invariants and the EHP sequence; 5. James-Hopf invariants and Toda-Hopf invariants; 6. Samelson products; 7. Bockstein spectral sequences; 8. Lie algebras and universal enveloping algebras; 9. Applications of graded Lie algebras; 10. Differential homological algebra; 11. Odd primary exponent theorems; 12. Differential homological algebra of classifying spaces; Bibliography; Index.
520			_aThe most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author introduces various aspects of unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field.
650		0	_aHomotopy theory.
650		0	_aAlgebraic topology.
776	0	8	_iPrint version: _z9780521760379
830		0	_aNew mathematical monographs ; _v12.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511691638
999			_c518179 _d518177