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Complex topological K-theory /

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 analysi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Park, Efton
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2008.
Colección:Cambridge studies in advanced mathematics ; 111.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Complex topological K-theory /  |c Efton Park. 
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504 |a Includes bibliographical references and index. 
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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. 
505 0 |a Preliminaries -- K-theory -- Additional structure -- Characteristic classes. 
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650 0 |a K-theory. 
650 6 |a Topologie algébrique. 
650 6 |a K-théorie. 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
650 7 |a Algebraic topology  |2 fast 
650 7 |a K-theory  |2 fast 
650 7 |a Topologische K-Theorie  |2 gnd 
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830 0 |a Cambridge studies in advanced mathematics ;  |v 111. 
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