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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
Descripción
Sumario: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 Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.
Descripción Física:1 online resource (v, 355 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 339-352) and index.
ISBN:9781400881505
1400881501