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Analytic K-Homology
Language: en
Pages: 426
Authors: Nigel Higson
Categories: Mathematics
Type: BOOK - Published: 2000-12-07 - Publisher: OUP Oxford

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Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these
Spectral Theory and Analytic Geometry over Non-Archimedean Fields
Language: en
Pages: 181
Authors: Vladimir G. Berkovich
Categories: Mathematics
Type: BOOK - Published: 2012-08-02 - Publisher: American Mathematical Soc.

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The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, th
K-theory
Language: en
Pages: 181
Authors: Michael Atiyah
Categories: Mathematics
Type: BOOK - Published: 2018-03-05 - Publisher: CRC Press

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These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory a
Algebraic K-Theory and Its Applications
Language: en
Pages: 404
Authors: Jonathan Rosenberg
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This t
Topological and Bivariant K-Theory
Language: en
Pages: 268
Authors: Joachim Cuntz
Categories: Mathematics
Type: BOOK - Published: 2007-10-04 - Publisher: Springer Science & Business Media

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Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exact sequence