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The Hauptvermutung Book. A Collection of Papers on the Topology of Manifolds.
Ranicki, A.; Casson, A.J. (Mathematics Dept., University Of California, Usa); Sullivan, D.P. (Mathematics Dept., City University Of New York, Usa); A
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Description for The Hauptvermutung Book. A Collection of Papers on the Topology of Manifolds.
Hardback. Brings together the original papers of Casson and Sullivan (1967), and the 'Princeton Notes on the Hauptvermutung' of Armstrong, Rourke and Cooke (1968/1972). The papers in this book include several results which have become part of mathematical folklore, but of which proofs had never been published. Series: K-Monographs in Mathematics. Num Pages: 192 pages, biography. BIC Classification: PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 12. Weight in Grams: 459.
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 its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that furt her 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. These polyhedra were not manifolds, leaving open the Hauptvermu tung for manifolds. The development of surgery theory led to the ... Read more
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 its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that furt her 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. These polyhedra were not manifolds, leaving open the Hauptvermu tung for manifolds. The development of surgery theory led to the ... Read more
Product Details
Format
Hardback
Publication date
1996
Publisher
Kluwer Academic Publishers United States
Number of pages
192
Condition
New
Series
K-Monographs in Mathematics
Number of Pages
192
Place of Publication
Dordrecht, Netherlands
ISBN
9780792341741
SKU
V9780792341741
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for The Hauptvermutung Book. A Collection of Papers on the Topology of Manifolds.
` ... long awaited account of a major achievement of modern mathematics. ... highly recommended for all topologists and for those who are interested in the developments of major topological tools.' Acta Scientificae Mathematicae, 63 (1997)