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Foundational essays on topological manifolds, smoothings, and triangulations /

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,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kirby, Robion C., 1938-, Siebenmann, Laurence C. (Laurence Carl), 1939- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 1977.
Colección:Annals of mathematics studies ; no. 88.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Kirby, Robion C.,  |d 1938- 
245 1 0 |a Foundational essays on topological manifolds, smoothings, and triangulations /  |c by Robion C. Kirby and Laurence C. Siebenmann. 
264 1 |a Princeton, N.J. :  |b Princeton University Press,  |c 1977. 
300 |a 1 online resource (v, 355 pages) :  |b illustrations 
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490 1 |a Annals of mathematics studies ;  |v number 88 
504 |a Includes bibliographical references (pages 339-352) and index. 
588 0 |a Print version record. 
505 0 0 |t Frontmatter --  |t Foreword --  |t Table of contents --  |t Guide --  |t Essay I. Deformation of smooth and piecewise linear manifold structures --  |t Essay II. Deformation of sliced families of manifold structures --  |t Essay III. Some basic theorems about topological manifolds --  |t Essay IV. Stable classification of smooth and piecewise linear manifold structures --  |t Essay V. Classification of sliced families of manifold structures --  |t Annex A. Stable homeomorphisms and the annulus conjecture --  |t Annex B. On The Triangulation of Manifolds and the Hauptvermutung --  |t Annex C. Topological Manifolds --  |t Note on Involutions --  |t Combined Bibliography --  |t Index --  |t Backmatter. 
520 |a 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. 
546 |a In English. 
590 |a JSTOR  |b Books at JSTOR All Purchased 
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650 0 |a Manifolds (Mathematics) 
650 0 |a Piecewise linear topology. 
650 0 |a Triangulating manifolds. 
650 6 |a Variétés (Mathématiques) 
650 6 |a Topologie linéaire pièce par pièce. 
650 6 |a Variétes triangulées. 
650 6 |a Topologie linéaire par morceaux. 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
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650 7 |a Piecewise linear topology.  |2 fast  |0 (OCoLC)fst01063865 
650 7 |a Triangulating manifolds.  |2 fast  |0 (OCoLC)fst01156445 
650 7 |a Topologische Mannigfaltigkeit  |2 gnd 
650 7 |a Variétés topologiques.  |2 ram 
650 7 |a Triangulation.  |2 ram 
650 7 |a Variétés (mathématiques)  |2 ram 
650 7 |a Variétés triangulées.  |2 ram 
700 1 |a Siebenmann, Laurence C.  |q (Laurence Carl),  |d 1939-  |e author. 
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830 0 |a Annals of mathematics studies ;  |v no. 88. 
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