Surgery Theory

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Algebraic and Geometric Surgery

Author : Andrew Ranicki
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.

Surgery on Compact Manifolds

Author : Charles Terence Clegg Wall
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.

Surgery Theory

Author : Wolfgang Lück
Publisher : Springer Nature
ISBN 13 : 3031563344
Total Pages : 956 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Surgery Theory by : Wolfgang Lück

Download or read book Surgery Theory written by Wolfgang Lück and published by Springer Nature. This book was released on 2024 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive introduction to surgery theory, the main tool in the classification of manifolds. Surgery theory was developed to carry out the so-called Surgery Program, a basic strategy to decide whether two closed manifolds are homeomorphic or diffeomorphic. This book provides a detailed explanation of all the ingredients necessary for carrying out the surgery program, as well as an in-depth discussion of the obstructions that arise. The components include the surgery step, the surgery obstruction groups, surgery obstructions, and the surgery exact sequence. This machinery is applied to homotopy spheres, the classification of certain fake spaces, and topological rigidity. The book also offers a detailed description of Ranicki's chain complex version, complete with a proof of its equivalence to the classical approach developed by Browder, Novikov, Sullivan, and Wall. This book has been written for learning surgery theory and includes numerous exercises. With full proofs and detailed explanations, it also provides an invaluable reference for working mathematicians. Each chapter has been designed to be largely self-contained and includes a guide to help readers navigate the material, making the book highly suitable for lecture courses, seminars, and reading courses.

A Course on Surgery Theory

Author : Stanley Chang
Publisher : Princeton University Press
ISBN 13 : 0691200351
Total Pages : 472 pages
Book Rating : 4.6/5 (912 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 472 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.

A Course on Surgery Theory

Author : Stanley Chang
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 Simply-Connected Manifolds

Author : William Browder
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-149), Volume 2

Author : Sylvain Cappell
Publisher : Princeton University Press
ISBN 13 : 1400865212
Total Pages : 446 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Surveys on Surgery Theory (AM-149), Volume 2 by : Sylvain Cappell

Download or read book Surveys on Surgery Theory (AM-149), Volume 2 written by Sylvain Cappell and published by Princeton University Press. This book was released on 2014-09-08 with total page 446 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.

Medical Theory, Surgical Practice

Author : Christopher Lawrence
Publisher : Routledge
ISBN 13 : 0429670710
Total Pages : 437 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 437 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.

High-dimensional Knot Theory

Author : Andrew Ranicki
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.

Corneal Surgery

Author : Frederick S. Brightbill
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.

Surgery on Contact 3-Manifolds and Stein Surfaces

Author : Burak Ozbagci
Publisher : Springer Science & Business Media
ISBN 13 : 366210167X
Total Pages : 279 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Surgery on Contact 3-Manifolds and Stein Surfaces by : Burak Ozbagci

Download or read book Surgery on Contact 3-Manifolds and Stein Surfaces written by Burak Ozbagci and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about an investigation of recent developments in the field of sympletic and contact structures on four- and three-dimensional manifolds from a topologist’s point of view. In it, two main issues are addressed: what kind of sympletic and contact structures we can construct via surgery theory and what kind of sympletic and contact structures are not allowed via gauge theory and the newly invented Heegaard-Floer theory.

Corneal Surgery

Author : Frederick S. Brightbill
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.

High-dimensional Manifold Topology

Author : R. T. Farrell
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.

The Classifying Spaces for Surgery and Cobordism of Manifolds

Author : Ib Madsen
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.

Exact Sequences in the Algebraic Theory of Surgery

Author : Andrew Ranicki
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.

Oxford Textbook of Fundamentals of Surgery

Author : William E. G. Thomas
Publisher : Oxford University Press
ISBN 13 : 0199665540
Total Pages : 849 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Oxford Textbook of Fundamentals of Surgery by : William E. G. Thomas

Download or read book Oxford Textbook of Fundamentals of Surgery written by William E. G. Thomas and published by Oxford University Press. This book was released on 2016 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: A definitive, accessible, and reliable resource which provides a solid foundation of the knowledge and basic science needed to hone all of the core surgical skills used in surgical settings. Presented in a clear and accessible way it addresses the cross-specialty aspects of surgery applicable to all trainees.

Oxford Textbook of Neurological Surgery

Author : Ramez Kirollos
Publisher : Oxford University Press, USA
ISBN 13 : 0198746709
Total Pages : 1177 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Oxford Textbook of Neurological Surgery by : Ramez Kirollos

Download or read book Oxford Textbook of Neurological Surgery written by Ramez Kirollos and published by Oxford University Press, USA. This book was released on 2019-09-05 with total page 1177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neurosurgery is a rapidly developing and technically demanding branch of surgery that requires a detailed knowledge of the basic neuro-sciences and a thorough clinical approach. The Oxford Textbook of Neurological Surgery is an up-to-date, objective and readable text that covers the full scope of neurosurgical practice. It is part of the Oxford Textbooks in Surgery series, edited by Professor Sir Peter Morris. The book is split into 20 overarching sections (Principles of Neurosurgery, Neuro-oncology of Intrinsic Tumours; Extra-axial Tumours and Skull Lesions; Cerebro-Pontine Angle Tumours; Sellar and Supra-Sellar Tumours; Posterior Fossa Tumours; Pineal tumours; Uncommon Tumours and Tumour Syndromes; Neurotrauma and Intensive Care; Vascular Neurosurgery; Principles of Spinal Surgery; Spinal Pathology; Spinal Trauma; Peripheral Nerve Surgery; Functional Neurosurgery; Epilepsy; Paediatric Neurosurgery; Neurosurgery for Cerebrospinal Fluid Disorders and Neurosurgical Infection). Each section takes a dual approach with, 'Generic Surgical Management' chapters that focus on specific clinical problems facing the neurosurgeon (e.g. sellar/supra-sellar tumour, Intradural Spina Tumours etc.) and 'Pathology-Specific' chapters (e.g. Glioma, Meningeal Tumours, Scoliosis and Spinal Deformity, Aneurysm etc.). Where appropriate, this division provides the reader with easily accessible information for both clinical problems which present in a regional fashion and specific pathologies. The generic chapters cover aspects such as operative approaches, neuroanatomy and nuances. Specifically each chapter in the book incorporates several strands. Firstly the fundamental neuroscience (anatomy, pathology, genetics etc.) that underlies the clinical practice. Secondly, a review of the requisite clinical investigations (e.g. angiography, electrodiagnostics, radiology). Thirdly, a thorough evidence based review of clinical practice. Following this a consideration of the key debates and controversies in the field with 'pro-' and 'con-' sections (e.g. minimally invasive spine surgery, microsurgical treatment of aneurysms) is provided. A summary of the key papers and clinical scales relevant to neurosurgery form the concluding part. The book is a 'one-stop' text for trainees and consultants in neurosurgery, residents, those preparing for sub-specialty exams and other professionals allied to surgery who need to gain an understanding of the field. It acts as both a point of reference to provide a focussed refresher for the experienced neurosurgeon as well as a trusted training resource.