Algebraic and Geometric Surgery

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Author :
Publisher : Oxford University Press
ISBN 13 : 9780198509240
Total Pages : 396 pages
Book Rating : 4.5/5 (92 download)

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Book Synopsis Algebraic and Geometric Surgery by : Andrew Ranicki

Download or read book Algebraic and Geometric Surgery written by Andrew Ranicki and published by Oxford University Press. This book was released on 2002 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students, who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology, including basic homotopy and homology, Poincare duality, bundles, co-bordism, embeddings, immersions, Whitehead torsion, Poincare complexes, spherical fibrations and quadratic forms and formations. While concentrating on the basic mechanics of surgery, this book includes many worked examples, useful drawings for illustration of the algebra and references for further reading.

A Course on Surgery Theory

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Author :
Publisher : Princeton University Press
ISBN 13 : 069116049X
Total Pages : 442 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis A Course on Surgery Theory by : Stanley Chang

Download or read book A Course on Surgery Theory written by Stanley Chang and published by Princeton University Press. This book was released on 2021-01-26 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced treatment of surgery theory for graduate students and researchers Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, A Course on Surgery Theory serves as an important resource for the mathematics community.

Surgery on Compact Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 0821809423
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Surgery on Compact Manifolds by : Charles Terence Clegg Wall

Download or read book Surgery on Compact Manifolds written by Charles Terence Clegg Wall and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.

Medical Theory, Surgical Practice

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Author :
Publisher : Routledge
ISBN 13 : 0429670710
Total Pages : 338 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Medical Theory, Surgical Practice by : Christopher Lawrence

Download or read book Medical Theory, Surgical Practice written by Christopher Lawrence and published by Routledge. This book was released on 2018-12-12 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1992, Medical Theory, Surgical Practice examines medical and surgical concepts of disease and their relation to the practice of surgery, in particular historical settings. It emphasises that understanding concepts of disease does not just include recounting explicit accounts of disease given by medical men. It needs an analysis of the social relations embedded in such concepts. In doing this, the contributors illustrate how surgery rose from a relatively humble place in seventeenth century life to being seen as one of the great achievements of late Victorian culture. They examine how medical theory and surgical practices relate to social contexts, how physical diagnosis entered medicine and whether anaesthesia and Lister’s antiseptic techniques really did cause a revolution in surgical practice.

Surgery on Simply-Connected Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 364250020X
Total Pages : 141 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Surgery on Simply-Connected Manifolds by : William Browder

Download or read book Surgery on Simply-Connected Manifolds written by William Browder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of the technique of surgery on simply-connected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simply-connected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S. P. Novikov [49] and the author [6] for closed 1-connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces.

Surveys on Surgery Theory (AM-145), Volume 1

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Author :
Publisher : Princeton University Press
ISBN 13 : 1400865190
Total Pages : 448 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Surveys on Surgery Theory (AM-145), Volume 1 by : Sylvain Cappell

Download or read book Surveys on Surgery Theory (AM-145), Volume 1 written by Sylvain Cappell and published by Princeton University Press. This book was released on 2014-09-08 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.

High-dimensional Knot Theory

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662120119
Total Pages : 669 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis High-dimensional Knot Theory by : Andrew Ranicki

Download or read book High-dimensional Knot Theory written by Andrew Ranicki and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together many results previously scattered throughout the research literature into a single framework, this work concentrates on the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert forms of classical knot theory.

The International Encyclopaedia of Surgery. A Systematic Treatise on the Theory and Practice of Surgery

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Author :
Publisher : BoD – Books on Demand
ISBN 13 : 3385457734
Total Pages : 810 pages
Book Rating : 4.3/5 (854 download)

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Book Synopsis The International Encyclopaedia of Surgery. A Systematic Treatise on the Theory and Practice of Surgery by : John Ashhurst

Download or read book The International Encyclopaedia of Surgery. A Systematic Treatise on the Theory and Practice of Surgery written by John Ashhurst and published by BoD – Books on Demand. This book was released on 2024-05-04 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1883.

Lectures on the Theory and Practice of Surgery

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Author :
Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.B/5 (9 download)

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Book Synopsis Lectures on the Theory and Practice of Surgery by : Abraham Colles

Download or read book Lectures on the Theory and Practice of Surgery written by Abraham Colles and published by . This book was released on 1844 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surveys on Surgery Theory

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691049386
Total Pages : 447 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Surveys on Surgery Theory by : Sylvain E. Cappell

Download or read book Surveys on Surgery Theory written by Sylvain E. Cappell and published by Princeton University Press. This book was released on 2000-01-10 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.

The Classifying Spaces for Surgery and Cobordism of Manifolds

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Author :
Publisher : Princeton University Press
ISBN 13 : 9780691082264
Total Pages : 300 pages
Book Rating : 4.0/5 (822 download)

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Book Synopsis The Classifying Spaces for Surgery and Cobordism of Manifolds by : Ib Madsen

Download or read book The Classifying Spaces for Surgery and Cobordism of Manifolds written by Ib Madsen and published by Princeton University Press. This book was released on 1979-11-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.

Corneal Surgery

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Author :
Publisher :
ISBN 13 :
Total Pages : 1016 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Corneal Surgery by : Frederick S. Brightbill

Download or read book Corneal Surgery written by Frederick S. Brightbill and published by . This book was released on 1999 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest surgical techniques in ophthalmology today are presented in this comprehensive, clinically relevant overview of cornea surgery. CORNEAL SURGERY covers every aspect of diagnosis and surgical management of the diseased cornea--with special emphasis on refractive surgery. A 48-page color insert illustrates diagnostic topography, surgical procedures and disease entities with 180 superb photographs. An additional section on eye-banking makes this book the complete reference for the practicing ophthalmologist as well as the corneal specialist. * Provides state of the art coverage and complete clinical information on corneal surgery. * Includes information from more than 180 recognized experts writing on the most frequently used corneal surgery techniques. * Provides a 48-page color insert which feature 180 photographs that clearly show topography, surgical procedures and disease entities. * Features unique, comprehensive eye-banking section.

High-dimensional Manifold Topology

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Publisher : World Scientific
ISBN 13 : 9789812704443
Total Pages : 516 pages
Book Rating : 4.7/5 (44 download)

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Book Synopsis High-dimensional Manifold Topology by : R. T. Farrell

Download or read book High-dimensional Manifold Topology written by R. T. Farrell and published by World Scientific. This book was released on 2003 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers topics such as manifolds with positive scalar curvature, pseudo-isotopy spectrum and controlled theory, and reduction of the Novikov and Borel conjectures for aspherical complexes to aspherical manifolds.

Surgery Theory and Geometry of Representations

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Publisher : Birkhäuser
ISBN 13 : 3034891679
Total Pages : 121 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Surgery Theory and Geometry of Representations by : T. tom Dieck

Download or read book Surgery Theory and Geometry of Representations written by T. tom Dieck and published by Birkhäuser. This book was released on 2012-12-06 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes were prepared for the DMV-Seminar held in Dusseldorf, Schloss Mickeln from June 28 to July 5, 1987. They consist of two parts which can be read independently. The reader is presumed to have a basic education in differential and algebraic topology. Surgery theory is the basic tool for the investigation of differential and topological manifolds. A systematic development of the theory is a long and difficult task. The purpose of these notes is to describe simple examples and at the same time to give an introduction to some of the systematic parts of the theory. The first part is concerned with examples. They are related to representations of finite groups and group actions on spheres, and are considered as a generalisation of the spherical space form problem. The second part reviews the general setting of surgery theory and reports on the computation of the surgery abstraction groups. Both parts present material not covered in any textbook and also give an introduction to the literature and areas of research. 1. REPRESENTATION FORMS AND HOMOTOPY REPRESENTATIONS. Tammo tom Dieck Mathematical Institute Gottingen University Fed. Rep. of Germany Let G be a (finite) group. We consider group actions of G on spheres and spherelike spaces.

Surveys on Surgery Theory

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691088152
Total Pages : 445 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Surveys on Surgery Theory by : Sylvain Cappell

Download or read book Surveys on Surgery Theory written by Sylvain Cappell and published by Princeton University Press. This book was released on 2000 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four. In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.

Corneal Surgery

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Author :
Publisher : Elsevier Health Sciences
ISBN 13 : 0323048358
Total Pages : 970 pages
Book Rating : 4.3/5 (23 download)

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Book Synopsis Corneal Surgery by : Frederick S. Brightbill

Download or read book Corneal Surgery written by Frederick S. Brightbill and published by Elsevier Health Sciences. This book was released on 2009-01-01 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part. 1 Introduction to corneal function and surgery -- Part. 2 Testing and measuring corneal function -- Part. 3 Ocular surface surgery and reconstruction -- Part. 4 Techniques in corneal transplantation -- Part. 5 Special situations in corneal surgery -- Part. 6 Surgical correction of refractive errors.

Exact Sequences in the Algebraic Theory of Surgery

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Author :
Publisher :
ISBN 13 : 9780691082769
Total Pages : 863 pages
Book Rating : 4.0/5 (827 download)

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Book Synopsis Exact Sequences in the Algebraic Theory of Surgery by : Andrew Ranicki

Download or read book Exact Sequences in the Algebraic Theory of Surgery written by Andrew Ranicki and published by . This book was released on 1981 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Description for this book, Exact Sequences in the Algebraic Theory of Surgery. (MN-26): , will be forthcoming.