AT-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem (cf. Borel and Serre [2]). For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch [3] con- sidered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is...
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Abstract Algebra Geometry & Topology Math Mathematics Pure Mathematics Science & Math Topology