| Analytic K-Homology Contributor(s): Higson, Nigel (Author), Roe, John (Author) |
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ISBN: 0198511760 ISBN-13: 9780198511762 Publisher: Oxford University Press, USA OUR PRICE: $275.50 Product Type: Hardcover - Other Formats Published: February 2001 |
| Additional Information |
| BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Applied - Mathematics | Topology - General |
| Dewey: 514.23 |
| LCCN: 2001274218 |
| Physical Information: 1.08" H x 6.44" W x 9.44" (1.60 lbs) 424 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This work draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with success to discover theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem. Beginning with the rudiments of C* - algebra theory, the book should lead the reader to some central notions of contemporary research in geometric functional analysis. |