Andrew Ranicki's Books

The Hauptvermutung Book

A Collection of Papers on the Topology of Manifolds

By: Andrew Ranicki,A.J. Casson,D.P. Sullivan,M.A. Armstrong,C.P. Rourke,G.E. Cooke

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The Hauptvermutung Book

A Collection of Papers on the Topology of Manifolds

By: Andrew Ranicki,A.J. Casson,D.P. Sullivan,M.A. Armstrong,C.P. Rourke,G.E. Cooke

The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that furt her development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. These polyhedra were not manifolds, leaving open the Hauptvermu tung for manifolds. The development of surgery theory led to the disproof of the high-dimensional manifold Hauptvermutung in the late 1960's. Unfortunately, the published record of the manifold Hauptvermutung has been incomplete, as was forcefully pointed out by Novikov in his lecture at the Browder 60th birthday conference held at Princeton in March 1994. This volume brings together the original 1967 papers of Casson and Sulli van, and the 1968/1972 'Princeton notes on the Hauptvermutung' of Armstrong, Rourke and Cooke, making this work physically accessible. These papers include several other results which have become part of the folklore but of which proofs have never been published. My own contribution is intended to serve as an intro duction to the Hauptvermutung, and also to give an account of some more recent developments in the area. In preparing the original papers for publication, only minimal changes of punctuation etc.

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210

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0792341740

ISBN 13

9780792341741

Algebraic and Geometric Surgery

By: Andrew Ranicki

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Algebraic and Geometric Surgery

By: Andrew Ranicki

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, cobordism, 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.

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386

Publisher

Clarendon Press

Published Date

ISBN 10

0191545244

ISBN 13

9780191545245

Quadratic Forms and Their Applications

Proceedings of the Conference on Quadratic Forms and Their Applications, July 5-9, 1999, University College Dublin

By: Eva Bayer-Fluckiger,David Lewis,Andrew Ranicki

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Quadratic Forms and Their Applications

Proceedings of the Conference on Quadratic Forms and Their Applications, July 5-9, 1999, University College Dublin

By: Eva Bayer-Fluckiger,David Lewis,Andrew Ranicki

This volume outlines the proceedings of the conference on "Quadratic Forms and Their Applications" held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.

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330

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821827790

ISBN 13

9780821827796

The Geometric Hopf Invariant and Surgery Theory

By: Michael Crabb,Andrew Ranicki

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The Geometric Hopf Invariant and Surgery Theory

By: Michael Crabb,Andrew Ranicki

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists. Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new.

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405

Publisher

Springer

Published Date

ISBN 10

331971306X

ISBN 13

9783319713069

High-dimensional Knot Theory

Algebraic Surgery in Codimension 2

By: Andrew Ranicki

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High-dimensional Knot Theory

Algebraic Surgery in Codimension 2

By: Andrew Ranicki

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.

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669

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662120119

ISBN 13

9783662120118

Arthur Schnitzler and Twentieth-century Criticism

By: Andrew C. Wisely

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Arthur Schnitzler and Twentieth-century Criticism

By: Andrew C. Wisely

An analysis of the scholarly criticism of the great Viennese writer up to the year 2000. Schnitzler, one of the most prolific Austrian writers of the 20th century, ruthlessly dissected his society's erotic posturing and phobias about sex and death. His most penetrating analyses include Lieutenant Gustl, the first stream-of-consciousness novella in German; Reigen, a devastating cycle of one-acts mapping the social limits of a sexual daisy-chain; and Der Weg ins Freie, a novel that combines a love story with a discussion ofthe roadblocks facing Austria's Jews. Today, his popularity is reflected by new editions and translations and by adaptations for theater, television, and film by artists such as Tom Stoppard and Stanley Kubrick. This book examinesSchnitzler reception up to 2000, beginning with the journalistic reception of the early plays. Before being suspended by a decade of Nazism, criticism in the 1920s and 30s emphasized Schnitzler's determinism and decadence. Not until the early 60s was humanist scholarship able to challenge this verdict by pointing out Schnitzler's ethical indictment of impressionism in the late novellas. During the same period, Schnitzler, whom Freud considered his literary "Doppelgänger," was often subjected to Freudian psychoanalytical criticism; but by the 80s, scholarship was citing his own thoroughgoing objections to such categories. Since the 70s, Schnitzler's remonstrance toward the Austrianestablishment has been examined by social historians and feminist critics alike, and the recently completed ten-volume edition of Schnitzler's diary has met with vibrant interest. Andrew C. Wisely is associate professor of German at Baylor University.

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Page Count

226

Publisher

Camden House

Published Date

ISBN 10

1571130888

ISBN 13

9781571130884

German Writers and the Politics of Culture

Dealing with the Stasi

By: Paul Cooke,Andrew Plowman

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German Writers and the Politics of Culture

Dealing with the Stasi

By: Paul Cooke,Andrew Plowman

Before the fall of the Berlin Wall many East German writers were praised in the Western world as dissident voices of truth, bravely struggling with the draconian constraints of living under the GDR's communist regime. However, since unification, Germany has been rocked by scandals showing the level to which the Stasi, the East German Secret Police, controlled these same writers. This is the first study in English to systematically explore how the writers have responded to the challenge of dealing with the Stasi from the 1950s to the present day.

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278

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Springer

Published Date

ISBN 10

140393875X

ISBN 13

9781403938756

Fictions from an Orphan State

Literary Reflections of Austria Between Habsburg and Hitler

By: Andrew Barker

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Fictions from an Orphan State

Literary Reflections of Austria Between Habsburg and Hitler

By: Andrew Barker

A varied, vivid view of the literary culture of the often-neglected interwar Austrian republic. The literary flair of fin-de-siècle Vienna lived on after 1918 in the First Austrian Republic even as writers grappled with the consequences of a lost war and the vanished Habsburg Empire. Reacting to historical and political issues often distinct from those in Weimar Germany, Austrian literary culture, though frequently associated with Jewish writers deeply attached to the concept of an independent Austria, reflected the republic's ever-deepening antisemitism and the growing clamor for political union with Germany. Spanning the two momentous decades between the fall of the empire in 1918 and the Nazi Anschluss in 1938, this book explores work by canonical writers suchas Schnitzler, Kraus, Roth, and Werfel and by now-forgotten figures such as the pacifist Andreas Latzko, the arch-Nazi Bruno Brehm, and the fervently Jewish Soma Morgenstern. Also taken into account are Ernst Weiss's "Hitler" novel Der Augenzeuge and 1930s works about First Republic Austria by the German Communist writers Anna Seghers and Friedrich Wolf. Andrew Barker's book paints a varied and vivid picture of one of the most challenging and underresearched periods in twentieth-century cultural history. Andrew Barker is Emeritus Professor of Austrian Studies at the University of Edinburgh, Scotland.

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216

Publisher

Camden House

Published Date

ISBN 10

1571135316

ISBN 13

9781571135315

Economics and the Real World

By: Andrew M. Kamarck

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Economics and the Real World

By: Andrew M. Kamarck

Drawing on a lifetime of distinguished work in economic research and policymaking, Andrew Kamarck details how his profession can more usefully analyze and solve economic problems by changing its basic approach to research. Kamarck contends that most economists today strive for a mathematical precision in their work that neither stems from nor leads to an accurate view of economic reality. He develops elegant critiques of key areas of economic analysis based on appreciation of scientific method and knowledge of the limitations of economic data. Concepts such as employment, market, and money supply must be seen as loose, not exact. Measurement of national income becomes highly problematic when taking into account such factors as the so-called underground economy and currency differences. World trade analysis is based on inconsistent and often inaccurate measurements. Subtle realities of the individual, social, and political worlds render largely ineffective both large-scale macroeconomics models and micro models of the consumer and the firm. Fashionable cost-benefit analysis must be recognized as inherently imprecise. Capital and investment in developing countries tend to be measured in easy but irrelevant ways. Kamarck concludes with a call for economists to involve themselves in data collection, to insist on more accurate and reliable data sources, to do analysis within the context of experience, and to take a realistic, incremental approach to policymaking. Kamarck's concerns are shared by many economists, and his eloquent presentation will be essential reading for his colleagues and for those who make use of economic research.

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176

Publisher

University of Pennsylvania Press

Published Date

ISBN 10

1512809462

ISBN 13

9781512809466

Algebraic and Geometric Surgery

By: Andrew Ranicki

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Algebraic and Geometric Surgery

By: Andrew Ranicki

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386

Publisher

Oxford University Press

Published Date

ISBN 10

0198509243

ISBN 13

9780198509240

Algebraic and Geometric Surgery

By: Andrew Ranicki

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Algebraic and Geometric Surgery

By: Andrew Ranicki

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386

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Clarendon Press

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ISBN 10

0191545244

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9780191545245

High-dimensional Knot Theory

Algebraic Surgery in Codimension 2

By: Andrew Ranicki

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High-dimensional Knot Theory

Algebraic Surgery in Codimension 2

By: Andrew Ranicki

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669

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Springer Science & Business Media

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ISBN 10

3662120119

ISBN 13

9783662120118

Surgery on Compact Manifolds

By: Charles Terence Clegg Wall,Andrew Ranicki

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Surgery on Compact Manifolds

By: Charles Terence Clegg Wall,Andrew Ranicki

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.

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321

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809423

ISBN 13

9780821809426

Quadratic Forms and Their Applications

Proceedings of the Conference on Quadratic Forms and Their Applications, July 5-9, 1999, University College Dublin

By: Eva Bayer-Fluckiger,David Lewis,Andrew Ranicki

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Quadratic Forms and Their Applications

Proceedings of the Conference on Quadratic Forms and Their Applications, July 5-9, 1999, University College Dublin

By: Eva Bayer-Fluckiger,David Lewis,Andrew Ranicki

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Page Count

330

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821827790

ISBN 13

9780821827796

Lower K- and L-theory

By: Andrew Ranicki

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Lower K- and L-theory

By: Andrew Ranicki

This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author.

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186

Publisher

Cambridge University Press

Published Date

ISBN 10

0521438012

ISBN 13

9780521438018

Algebraic L-theory and Topological Manifolds

By: Andrew Ranicki

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Algebraic L-theory and Topological Manifolds

By: Andrew Ranicki

Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds, in a unified algebraic framework.

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372

Publisher

Cambridge University Press

Published Date

ISBN 10

0521420245

ISBN 13

9780521420242

Algebraic and Geometric Surgery

By: Andrew Ranicki

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Algebraic and Geometric Surgery

By: Andrew Ranicki

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.

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373

Published Date

ISBN 10

0191708720

ISBN 13

9780191708725

Exact Sequences in the Algebraic Theory of Surgery

By: Andrew Ranicki

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Exact Sequences in the Algebraic Theory of Surgery

By: Andrew Ranicki

The Description for this book, Exact Sequences in the Algebraic Theory of Surgery. (MN-26): , will be forthcoming.

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863

Published Date

ISBN 10

0691082766

ISBN 13

9780691082769

Ends of Complexes

By: Bruce Hughes,Andrew Ranicki

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Ends of Complexes

By: Bruce Hughes,Andrew Ranicki

A systematic exposition of the theory and practice of ends of manifolds and CW complexes, not previously available.

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384

Publisher

Cambridge University Press

Published Date

ISBN 10

0521576253

ISBN 13

9780521576253

Novikov Conjectures, Index Theorems, and Rigidity

By: Steven C. Ferry

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Novikov Conjectures, Index Theorems, and Rigidity

By: Steven C. Ferry

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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Page Count

384

Published Date

ISBN 10

1107367115

ISBN 13

9781107367111

Book's by Andrew Ranicki

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