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008			150903s2012 xxk| o |||| 0|eng d
020			_a9781447143932 _99781447143932
024	7		_a10.1007/9781447143932 _2doi
035			_avtls000339805
039		9	_a201509030840 _bVLOAD _c201404300405 _dVLOAD _y201402060944 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA612.33
100	1		_aDundas, Bjørn Ian. _eautor _9317033
245	1	4	_aThe Local Structure of Algebraic K-Theory / _cby Bjørn Ian Dundas, Thomas G. Goodwillie, Randy McCarthy.
264		1	_aLondon : _bSpringer London : _bImprint: Springer, _c2012.
300			_axv, 435 páginas 5 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		_aAlgebra and Applications, _x1572-5553 ; _v18
500			_aSpringer eBooks
505	0		_aAlgebraic K-theory -- Gamma-spaces and S-algebras -- Reductions -- Topological Hochschild Homology -- The Trace K ? THH -- Topological Cyclic Homology -- The Comparison of K-theory and TC.
520			_aAlgebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation of algebraically closed fields, few complete calculations were available before the discovery of homological invariants offered by motivic cohomology and topological cyclic homology. This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves that the difference between the theories are ‘locally constant’. The usefulness of this theorem stems from being more accessible for calculations than K-theory, and hence a single calculation of K-theory can be used with homological calculations to obtain a host of ‘nearby’ calculations in K-theory. For instance, Quillen's calculation of the K-theory of finite fields gives rise to Hesselholt and Madsen's calculations for local fields, and Voevodsky's calculations for the integers give insight into the diffeomorphisms of manifolds. In addition to the proof of the full integral version of the local correspondence between K-theory and topological cyclic homology, the book provides an introduction to the necessary background in algebraic K-theory and highly structured homotopy theory; collecting all necessary tools into one common framework. It relies on simplicial techniques, and contains an appendix summarizing the methods widely used in the field. The book is intended for graduate students and scientists interested in algebraic K-theory, and presupposes a basic knowledge of algebraic topology.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aGoodwillie, Thomas G. _eautor _9317034
700	1		_aMcCarthy, Randy. _eautor _9317035
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781447143925
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4471-4393-2 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c287705 _d287705