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A survey of K-theory. (English) Zbl 0345.55005
\(K\)-Theory Oper. Algebr., Proc. Conf. Athens/Georgia 1975, Lect. Notes Math. 575, 1-9 (1977).
MSC:
55N15 Topological \(K\)-theory
14C35 Applications of methods of algebraic \(K\)-theory in algebraic geometry
14F20 √Čtale and other Grothendieck topologies and (co)homologies
55R45 Homology and homotopy of \(B\mathrm{O}\) and \(B\mathrm{U}\); Bott periodicity
55R50 Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory
58J20 Index theory and related fixed-point theorems on manifolds
47A53 (Semi-) Fredholm operators; index theories
55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology