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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 Étale 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