Download Complex Topological K-Theory (Cambridge Studies in Advanced by Efton Park PDF

By Efton Park

Topological K-theory is a key software in topology, differential geometry and index conception, but this can be the 1st modern advent for graduate scholars new to the topic. No heritage in algebraic topology is believed; the reader want purely have taken the normal first classes in actual research, summary algebra, and point-set topology. The e-book starts off with an in depth dialogue of vector bundles and comparable algebraic notions, by way of the definition of K-theory and proofs of an important theorems within the topic, similar to the Bott periodicity theorem and the Thom isomorphism theorem. The multiplicative constitution of K-theory and the Adams operations also are mentioned and the ultimate bankruptcy info the development and computation of attribute periods. With each very important point of the subject lined, and routines on the finish of every bankruptcy, this is often the definitive publication for a primary path in topological K-theory.

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