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001			309552
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007			cr nn 008mamaa
008			150903s2009 sz | o |||| 0|eng d
020			_a9783764399047 _99783764399047
024	7		_a10.1007/9783764399047 _2doi
035			_avtls000363018
039		9	_a201509030651 _bVLOAD _c201405070338 _dVLOAD _y201402211137 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA612-612.8
100	1		_aSnaith, Victor P. _eautor _9349848
245	1	0	_aStable Homotopy Around the Arf-Kervaire Invariant / _cby Victor P. Snaith.
264		1	_aBasel : _bBirkhäuser Basel, _c2009.
300			_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 ; _v273
500			_aSpringer eBooks
505	0		_aAlgebraic Topology Background -- The Arf-Kervaire Invariant via QX -- The Upper Triangular Technology -- A Brief Glimpse of Algebraic K-theory -- The Matrix Corresponding to 1 ? ?3 -- Real Projective Space -- Hurewicz Images, BP-theory and the Arf-Kervaire Invariant -- Upper Triangular Technology and the Arf-Kervaire Invariant -- Futuristic and Contemporary Stable Homotopy.
520			_aThis monograph describes important techniques of stable homotopy theory, both classical and brand new, applying them to the long-standing unsolved problem of the existence of framed manifolds with odd Arf-Kervaire invariant. Opening with an account of the necessary algebraic topology background, it proceeds in a quasi-historical manner to draw from the author’s contributions over several decades. A new technique entitled “upper triangular technology” is introduced which enables the author to relate Adams operations to Steenrod operations and thereby to recover most of the important classical Arf-Kervaire invariant results quite simply. The final chapter briefly relates the book to the contemporary motivic stable homotopy theory of Morel-Voevodsky. Excerpt from a review: This takes the reader on an unusual mathematical journey. The problem referred to in the title, its history and the author's relationship with it are lucidly described in the book. The book does not offer a solution, but a new and interesting way of looking at it. The stated purpose of the book is twofold: (1) To rescue the Kervaire invariant problem from oblivion. (2) To introduce the "upper triangular technology" to approach the problem. This is very useful, since this method is not widely known. It is not an introduction to stable homotopy theory but rather a guide for experts along a path to a prescribed destination. In taking us there it assembles material from widely varying sources and offers a perspective that is not available anywhere else. This is a case where the whole is much greater than the sum of its parts. The manuscript is extremely well written. The author's style is engaging and even humorous at times. (Douglas Ravenel)
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783764399030
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-9904-7 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c309552 _d309552