Noncommutative Localization in Algebra and Topology
Edited by Andrew Ranicki
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Noncommutative Localization in Algebra and Topology by Andrew Ranicki
Book DescriptionNoncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.
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Book DetailsISBN: 9780521681605
(228mm x 152mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 9-Feb-2006
Country of Publication: United Kingdom
Books By Author Andrew Ranicki
Ends of Complexes, Paperback (January 2008)
A systematic exposition of the theory and practice of ends of manifolds and CW complexes, not previously available.
Algebraic and Geometric Surgery, Hardback (September 2002)
This book provides an introduction to surgery theory; the standard classification method for high dimension manifolds.
Surveys on Surgery Theory, Paperback (January 2001)
Surgery theory is the basis for the classification theory of manifolds. This title reflects on the accomplishments of surgery theory as well as its varied interactions with algebra, analysis, and geometry. It covers the topics that include applications of surgery, Wall's finiteness obstruction, algebraic surgery, and surgery in dimension four.
Novikov Conjectures, Index Theorems, and Rigidity, Paperback (November 1995)» View all books by Andrew Ranicki
These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov conjectures, index theorems and rigidity'.
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Author Biography - Andrew Ranicki
Andrew Ranicki is a Professor of Algebraic Surgery, at the School of Mathematics, University of Edinburgh.
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