Topological 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.
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介绍拓扑K-理论入门读物，讲得比较详细，可惜有一些小错误。
评分入門讀物。快開學了沒空所以讀這個。第一章用比較奇妙的思路證了 Serre-Swan，第二三章基本是 Atiyah 的第二章打散重組、把所有的證明用冪等矩陣重新寫一遍的結果。小錯奇多，就跟沒校過似的。
评分入門讀物。快開學了沒空所以讀這個。第一章用比較奇妙的思路證了 Serre-Swan，第二三章基本是 Atiyah 的第二章打散重組、把所有的證明用冪等矩陣重新寫一遍的結果。小錯奇多，就跟沒校過似的。
评分介绍拓扑K-理论入门读物，讲得比较详细，可惜有一些小错误。
评分介绍拓扑K-理论入门读物，讲得比较详细，可惜有一些小错误。
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