Andrew Ranicki – författare

Visar alla böcker från författaren Andrew Ranicki. Handla med fri frakt och snabb leverans.

19 produkter

Kategorier

19 produkter

Algebraic and Geometric Surgery
AvAndrew Ranicki
Inbunden, Engelska, 2002
4 431 kr
Skickas inom 7-10 vardagar
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.
Del 123 - Cambridge Tracts in Mathematics
Ends of Complexes
AvBruce Hughes,Andrew Ranicki
Häftad, Engelska, 2008
766 kr
Skickas inom 5-8 vardagar
The ends of a topological space are the directions in which it becomes non-compact by tending to infinity. The tame ends of manifolds are particularly interesting, both for their own sake, and for their use in the classification of high-dimensional compact manifolds. The book is devoted to the related theory and practice of ends, dealing with manifolds and CW complexes in topology and chain complexes in algebra. The first part develops a homotopy model of the behaviour at infinity of a non-compact space. The second part studies tame ends in topology. Tame ends are shown to have a uniform structure, with a periodic shift map. Approximate fibrations are used to prove that tame manifold ends are the infinite cyclic covers of compact manifolds. The third part translates these topological considerations into an appropriate algebraic context, relating tameness to homological properties and algebraic K- and L-theory.
Del 178 - London Mathematical Society Lecture Note Series
Lower K- and L-theory
AvAndrew Ranicki
Häftad, Engelska, 1992
780 kr
Skickas inom 3-6 vardagar
This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. These groups arise as the Grothendieck groups of modules and quadratic forms which are components of the K- and L-groups of polynomial extensions. They are important in the topology of non-compact manifolds such as Euclidean spaces, being the value groups for Whitehead torsion, the Siebemann end obstruction and the Wall finiteness and surgery obstructions. Some of the applications to topology are included, such as the obstruction theories for splitting homotopy equivalences and for fibering compact manifolds over the circle. Only elementary algebraic constructions are used, which are always motivated by topology. The material is accessible to a wide mathematical audience, especially graduate students and research workers in topology and algebra.
Del 227 - London Mathematical Society Lecture Note Series
Novikov Conjectures, Index Theorems, and Rigidity: Volume 2
AvSteven C. Ferry,Andrew Ranickim. fl.
Häftad, Engelska, 1995
902 kr
Skickas inom 3-6 vardagar
The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) in September, 1993, on the subject of `Novikov Conjectures, Index Theorems and Rigidity'. They are intended to give a snapshot of the status of work on the Novikov Conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry, analysis.
Del 226 - London Mathematical Society Lecture Note Series
Novikov Conjectures, Index Theorems, and Rigidity: Volume 1
Oberwolfach 1993
AvSteven C. Ferry,Andrew Ranickim. fl.
Häftad, Engelska, 1995
780 kr
Skickas inom 3-6 vardagar
The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) in September 1993, on the subject of 'Novikov Conjectures, Index Theorems and Rigidity'. They are intended to give a snapshot of the status of work on the Novikov Conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry and analysis. Volume 1 contains: • A detailed historical survey and bibliography of the Novikov Conjecture and of related subsequent developments, including an annotated reprint (both in the original Russian and in English translation) of Novikov's original 1970 statement of his conjecture • An annotated problem list • The texts of several important unpublished classic papers by Milnor, Browder, and Kasparov • Research/survey papers on the Novikov Conjecture by Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg.
Del 123 - Cambridge Tracts in Mathematics
Ends of Complexes
AvBruce Hughes,Andrew Ranicki
Inbunden, Engelska, 1996
1 823 kr
Skickas inom 5-8 vardagar
The ends of a topological space are the directions in which it becomes non-compact by tending to infinity. The tame ends of manifolds are particularly interesting, both for their own sake, and for their use in the classification of high-dimensional compact manifolds. The book is devoted to the related theory and practice of ends, dealing with manifolds and CW complexes in topology and chain complexes in algebra. The first part develops a homotopy model of the behaviour at infinity of a non-compact space. The second part studies tame ends in topology. Tame ends are shown to have a uniform structure, with a periodic shift map. Approximate fibrations are used to prove that tame manifold ends are the infinite cyclic covers of compact manifolds. The third part translates these topological considerations into an appropriate algebraic context, relating tameness to homological properties and algebraic K- and L-theory.
Del 330 - London Mathematical Society Lecture Note Series
Noncommutative Localization in Algebra and Topology
AvAndrew Ranicki
Häftad, Engelska, 2006
956 kr
Skickas inom 3-6 vardagar
Noncommutative 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.
Surveys on Surgery Theory, Volume 1
Papers Dedicated to C. T. C. Wall
AvJonathan M. Rosenberg,Sylvain Cappellm. fl.
Häftad, Engelska, 2000
1 146 kr
Skickas inom 5-8 vardagar
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.
Surveys on Surgery Theory, Volume 2
Papers Dedicated to C.T.C. Wall
AvSylvain Cappell,Andrew Ranickim. fl.
Häftad, Engelska, 2001
1 229 kr
Skickas inom 5-8 vardagar
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.
Surveys on Surgery Theory, Volume 1
Papers Dedicated to C. T. C. Wall
AvAndrew Ranicki,Sylvain Cappellm. fl.
E-bok
PDF, Engelska, 2014
1 588 kr
Läs direkt efter köp
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.
Surveys on Surgery Theory, Volume 2
Papers Dedicated to C.T.C. Wall
AvJonathan M. Rosenberg,Andrew Ranickim. fl.
E-bok
PDF, Engelska, 2014
1 699 kr
Läs direkt efter köp
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.
Geometric Hopf Invariant and Surgery Theory
AvMichael Crabb,Andrew Ranicki
Inbunden, Engelska, 2018
1 563 kr
Skickas inom 10-15 vardagar
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, withmany results old and new.
Geometric Hopf Invariant and Surgery Theory
AvAndrew Ranicki,Michael Crabb
E-bok
Engelska, 2018
1 886 kr
Läs direkt efter köp
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, withmany results old and new.
Geometric Hopf Invariant and Surgery Theory
AvMichael Crabb,Andrew Ranicki
Häftad, Engelska, 2019
1 568 kr
Skickas inom 10-15 vardagar
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, withmany results old and new.
Del 1126 - Lecture Notes in Mathematics
Algebraic and Geometric Topology
Proceedings of a Conference held at Rutgers University, New Brunswick, USA, July 6-13, 1983
AvAndrew Ranicki,Norman Levittm. fl.
Häftad, Engelska, 1985
508 kr
Skickas inom 10-15 vardagar
Algebraic and Geometric Topology
Proceedings of a Conference held at Rutgers University, New Brunswick, USA, July 6-13, 1983
AvFrank Quinn,Norman Levittm. fl.
E-bok
PDF, Engelska, 2006
538 kr
Läs direkt efter köp
High-dimensional Knot Theory
Algebraic Surgery in Codimension 2
AvAndrew Ranicki
Inbunden, Engelska, 1998
1 122 kr
Skickas inom 10-15 vardagar
High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. The main theme is 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. Many results in the research literature are thus brought into a single framework, and new results are obtained. The treatment is particularly effective in dealing with open books, which are manifolds with codimension 2 submanifolds such that the complement fibres over a circle. The book concludes with an appendix by E. Winkelnkemper on the history of open books.
High-dimensional Knot Theory
Algebraic Surgery in Codimension 2
AvAndrew Ranicki
Häftad, Engelska, 2010
1 122 kr
Skickas inom 10-15 vardagar
High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. The main theme is 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. Many results in the research literature are thus brought into a single framework, and new results are obtained. The treatment is particularly effective in dealing with open books, which are manifolds with codimension 2 submanifolds such that the complement fibres over a circle. The book concludes with an appendix by E. Winkelnkemper on the history of open books.
High-dimensional Knot Theory
Algebraic Surgery in Codimension 2
AvAndrew Ranicki
E-bok
PDF, Engelska, 2013
1 413 kr
Läs direkt efter köp
High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. The main theme is 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. Many results in the research literature are thus brought into a single framework, and new results are obtained. The treatment is particularly effective in dealing with open books, which are manifolds with codimension 2 submanifolds such that the complement fibres over a circle. The book concludes with an appendix by E. Winkelnkemper on the history of open books.

Företag, bibliotek eller offentlig verksamhet?

Andrew Ranicki – författare

Algebraic and Geometric Surgery

Ends of Complexes

Lower K- and L-theory

Novikov Conjectures, Index Theorems, and Rigidity: Volume 2

Novikov Conjectures, Index Theorems, and Rigidity: Volume 1

Ends of Complexes

Noncommutative Localization in Algebra and Topology

Surveys on Surgery Theory, Volume 1

Surveys on Surgery Theory, Volume 2

Surveys on Surgery Theory, Volume 1

Surveys on Surgery Theory, Volume 2

Geometric Hopf Invariant and Surgery Theory

Geometric Hopf Invariant and Surgery Theory

Geometric Hopf Invariant and Surgery Theory

Algebraic and Geometric Topology

Algebraic and Geometric Topology

High-dimensional Knot Theory

High-dimensional Knot Theory

High-dimensional Knot Theory

Mina sidor

Mina sidor

Hjälp

Hjälp

Om Bokus

Om Bokus

Populärt

Populärt

Inspiration

Inspiration