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Foundational Essays On Topological Manifolds Smoothings And Triangulations


Foundational Essays On Topological Manifolds Smoothings And Triangulations
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Foundational Essays On Topological Manifolds Smoothings And Triangulations Am 88 Volume 88


Foundational Essays On Topological Manifolds Smoothings And Triangulations Am 88 Volume 88
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Author : Robion C. Kirby
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Foundational Essays On Topological Manifolds Smoothings And Triangulations Am 88 Volume 88 written by Robion C. Kirby and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.


Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.



Foundational Essays On Topological Manifolds Smoothings And Triangulations


Foundational Essays On Topological Manifolds Smoothings And Triangulations
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Author : Robion C. Kirby
language : en
Publisher: Annals of Mathematics Studies
Release Date : 1977

Foundational Essays On Topological Manifolds Smoothings And Triangulations written by Robion C. Kirby and has been published by Annals of Mathematics Studies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.


Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.



Essays On Topological Manifolds Smoothings And Triangulations


Essays On Topological Manifolds Smoothings And Triangulations
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Author : R.C. Kirby
language : en
Publisher:
Release Date : 1977

Essays On Topological Manifolds Smoothings And Triangulations written by R.C. Kirby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.




Essays On Topological Manifolds Smoothings And Triangulations


Essays On Topological Manifolds Smoothings And Triangulations
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Author : Robion C. Kirby
language : en
Publisher:
Release Date : 1972

Essays On Topological Manifolds Smoothings And Triangulations written by Robion C. Kirby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.




Foundational Essays On Topological Manifolds Smoothings And Trianguletions


Foundational Essays On Topological Manifolds Smoothings And Trianguletions
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Author : Robion C. Kirby
language : en
Publisher:
Release Date : 1977

Foundational Essays On Topological Manifolds Smoothings And Trianguletions written by Robion C. Kirby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.




Founational Essays On Topological Manifolds Smoothings And Triangulations


Founational Essays On Topological Manifolds Smoothings And Triangulations
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Author : Robion C. Kirby
language : en
Publisher:
Release Date : 1977

Founational Essays On Topological Manifolds Smoothings And Triangulations written by Robion C. Kirby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.




The Collected Papers Of Stephen Smale


The Collected Papers Of Stephen Smale
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Author : Stephen Smale
language : en
Publisher: World Scientific
Release Date : 2000

The Collected Papers Of Stephen Smale written by Stephen Smale and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.



Piecewise Linear Structures On Topological Manifolds


Piecewise Linear Structures On Topological Manifolds
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Author : Yuli Rudyak
language : en
Publisher: World Scientific
Release Date : 2015-12-28

Piecewise Linear Structures On Topological Manifolds written by Yuli Rudyak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-28 with Mathematics categories.


The study of triangulations of topological spaces has always been at the root of geometric topology. Among the most studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their study culminated in the late 1960s-early 1970s in a complete classification in the work of Kirby and Siebenmann. It is this classification that we discuss in this book, including the celebrated Hauptvermutung and Triangulation Conjecture.The goal of this book is to provide a readable and well-organized exposition of the subject, which would be suitable for advanced graduate students in topology. An exposition like this is currently lacking.



Handbook Of Homotopy Theory


Handbook Of Homotopy Theory
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Author : Haynes Miller
language : en
Publisher: CRC Press
Release Date : 2020-01-23

Handbook Of Homotopy Theory written by Haynes Miller and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.


The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.



Collected Papers Of John Milnor


Collected Papers Of John Milnor
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Author : John Willard Milnor
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Collected Papers Of John Milnor written by John Willard Milnor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


This volume is the seventh in the series Collected Papers of John Milnor. Together with the preceding Volume VI, it contains all of Milnor's papers in dynamics, through the year 2012. Most of the papers are in holomorphic dynamics; however, there are two in real dynamics and one on cellular automata. Two of the papers are published here for the first time. The papers in this volume provide important and fundamental material in real and complex dynamical systems. Many have become classics, and have inspired further research in the field. Some of the questions addressed here continue to be important in current research. In some cases, there have been minor corrections or clarifications, as well as references to more recent work which answers questions raised by the author. The volume also includes an index to facilitate searching the book for specific topics.