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Complex topological K-theory

Park, Efton.

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Complex topological K-theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Complex topological K-theory/ Efton Park.
作者:	Park, Efton.
出版者:	Cambridge :Cambridge University Press, : 2008.,
面頁冊數:	x, 208 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Preliminaries -- K-theory -- Additional structure -- Characteristic classes.
標題:	Algebraic topology. -
電子資源:	https://doi.org/10.1017/CBO9780511611476
ISBN:	9780511611476

Complex topological K-theory
Park, Efton.

Complex topological K-theory[electronic resource] /Efton Park. - Cambridge :Cambridge University Press,2008. - x, 208 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;111. - Cambridge studies in advanced mathematics ;111..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Preliminaries -- K-theory -- Additional structure -- Characteristic classes.

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.

ISBN: 9780511611476Subjects--Topical Terms:

532744
Algebraic topology.

LC Class. No.: QA612 / .P37 2008

Dewey Class. No.: 514.23

Complex topological K-theory
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Preliminaries -- K-theory -- Additional structure -- Characteristic classes.
520 $a 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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650 0 $a K-theory. $3 542533
830 0 $a Cambridge studies in advanced mathematics ; $v 111. $3 3470687
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