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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 (Paperback, Reissue)
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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 (Paperback, Reissue)
Series: Annals of Mathematics Studies
Expected to ship within 12 - 17 working days
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Since Poincare'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Casson's unpublished work and a consideration of periodicity in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.
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