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

Author: Robion C. Kirby

language: en

Publisher: Princeton University Press

Release Date: 2016-03-02


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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 Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.

The Collected Papers of Stephen Smale


The Collected Papers of Stephen Smale

Author: Stephen Smale

language: en

Publisher: World Scientific

Release Date: 2000


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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.

Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 1


Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 1

Author: Roderick S C Wong

language: en

Publisher: World Scientific

Release Date: 2000-06-30


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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.