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The Hauptvermutung Book. A Collection of Papers on the Topology of Manifolds.
Ranicki, A. A.; Casson, A.J. (Mathematics Dept., University Of California, Usa); Sullivan, D.P.; Armstrong, M. A.; Rourke, C. P.; Cooke, G.E.. Ed(S):
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Description for The Hauptvermutung Book. A Collection of Papers on the Topology of Manifolds.
Paperback. Editor(s): Ranicki, A. A. Series: K-Monographs in Mathematics. Num Pages: 192 pages, biography. BIC Classification: PBKS; PBMP; PBMS; PBPD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 10. Weight in Grams: 314.
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
Paperback
Publication date
2010
Publisher
Springer Netherlands
Number of pages
192
Condition
New
Series
K-Monographs in Mathematics
Number of Pages
192
Place of Publication
Dordrecht, Netherlands
ISBN
9789048147359
SKU
V9789048147359
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)