Analytic K-Homology

Name: Analytic K-Homology
Brand: Oxford University Press
SKU: 9780198511762
Price: 1249.48 RON
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Autor: John Roe, Nigel Higson

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Editura: Oxford University Press

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Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry....

Informații despre carte

Autor

John Roe, Nigel Higson

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2000

Pagini

424

EAN

9780198511762

ISBN

0198511760

Enbook ID

04866077

Editura

Oxford University Press

Greutate

720

Dimensiuni

161 x 247 x 28

Descriere completă

Analytic K-homology 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 specacular success to discover remarkable 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 will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form.

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