000 02219nam a22003618i 4500
001 CR9780511611476
003 UkCbUP
005 20200124160219.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090910s2008||||enk o ||1 0|eng|d
020 _a9780511611476 (ebook)
020 _z9780521856348 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA612
_b.P37 2008
082 0 4 _a514.23
_222
100 1 _aPark, Efton,
_eauthor.
245 1 0 _aComplex topological K-theory /
_cEfton Park.
264 1 _aCambridge :
_bCambridge University Press,
_c2008.
300 _a1 online resource (x, 208 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v111
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aPreliminaries -- K-theory -- Additional structure -- Characteristic classes.
520 _aTopological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject. No background in algebraic topology is assumed; the reader need only have taken the standard first courses in real analysis, abstract algebra, and point-set topology. The book begins with a detailed discussion of vector bundles and related algebraic notions, followed by the definition of K-theory and proofs of the most important theorems in the subject, such as the Bott periodicity theorem and the Thom isomorphism theorem. The multiplicative structure of K-theory and the Adams operations are also discussed and the final chapter details the construction and computation of characteristic classes. With every important aspect of the topic covered, and exercises at the end of each chapter, this is the definitive book for a first course in topological K-theory.
650 0 _aAlgebraic topology.
650 0 _aK-theory.
776 0 8 _iPrint version:
_z9780521856348
830 0 _aCambridge studies in advanced mathematics ;
_v111.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511611476
999 _c516560
_d516558