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[ED: Softcover], [PU: Springer Netherlands], The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulate… Meer...

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ISBN: 9789048147359

The Hauptvermutung is the conjecture that any two triangulations of a poly­ hedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until… Meer...

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The Hauptvermutung Book A Collection of Papers on the Topology of Manifolds - Armstrong, M. A.; Casson, A. J.; Cooke, G. E.; Ranicki, A. A.; Rourke, C. P.; Sullivan, D. P.; Ranicki, A. A. (Herausgeber)
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Armstrong, M. A.; Casson, A. J.; Cooke, G. E.; Ranicki, A. A.; Rourke, C. P.; Sullivan, D. P.; Ranicki, A. A. (Herausgeber):
The Hauptvermutung Book A Collection of Papers on the Topology of Manifolds - pocketboek

2010

ISBN: 9048147352

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The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds

The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that further development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. Then, the development of surgery theory led to the disproof of the high-dimensional manifold Hauptvermutung in the late 1960s. Up to now, the published record of the Hauptvermutung has been incomplete. This volume brings together the original papers of Casson and Sullivan (1967), and the `Princeton Notes on the Hauptvermutung' of Armstrong, Rourke and Cooke (1968/1972). They include several results which have become part of mathematical folklore, but of which proofs had never been published. The material is complemented by an introduction on the Hauptvermutung and an account of recent developments in the area. Also, references have been updated wherever possible. Audience: This book will be valuable to all mathematicians interested in the topology of manifolds, geometry, and differential geometry.

Gedetalleerde informatie over het boek. - The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds


EAN (ISBN-13): 9789048147359
ISBN (ISBN-10): 9048147352
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag/Sci-Tech/Trade
200 Bladzijden
Gewicht: 0,310 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2012-02-08T13:53:10+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-11-09T21:30:49+01:00 (Amsterdam)
ISBN/EAN: 9789048147359

ISBN - alternatieve schrijfwijzen:
90-481-4735-2, 978-90-481-4735-9


Gegevens van de uitgever

Auteur: A.A. Ranicki; A.J. Casson; D.P. Sullivan; M.A. Armstrong; C.P. Rourke; G.E. Cooke
Titel: K-Monographs in Mathematics; The Hauptvermutung Book - A Collection of Papers on the Topology of Manifolds
Uitgeverij: Springer; Springer Netherland
192 Bladzijden
Verschijningsjaar: 2010-12-08
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,454 kg
Taal: Engels
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Geometrie; Topologie; Verstehen; Area; Homeomorphism; Homotopy; Volume; differential geometry; manifold; B; Manifolds and Cell Complexes (incl. Diff.Topology); Geometry; Algebraic Topology; Global Analysis and Analysis on Manifolds; Differential Geometry; Manifolds and Cell Complexes; Geometry; Algebraic Topology; Global Analysis and Analysis on Manifolds; Differential Geometry; Mathematics and Statistics; Geometrie; Algebraische Topologie; Mathematische Analysis, allgemein; Differentielle und Riemannsche Geometrie; BB

Preface. On the Hauptvermutung; A.A. Ranicki. Generalisations and Applications of Block Bundles; A.J. Casson. Triangulating Homotopy Equivalences and Homeomorphisms. Geometric Topology Seminar Notes; D.P. Sullivan. The Princeton Notes on the Hauptvermutung; M.A. Armstrong, et al. I. The Hauptvermutung According to Lashof and Rothenberg; M.A. Armstrong. II. The Hauptvermutung According to Casson and Sullivan; C.P. Rourke. III. The Hauptvermutung According to Casson and Sullivan; G.E. Cooke. Coda: Connection with the Results of Kirby and Siebenmann; C.P. Rourke.

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