The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds
by A.A. Ranicki, et al,
Publisher: Springer 1996
ISBN/ASIN: 9048147352
ISBN-13: 9789048147359
Number of pages: 194
Description:
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.
Download or read it online for free here:
Download link
(740KB, PDF)
Similar books
Ends of Complexesby Bruce Hughes, Andrew Ranicki - Cambridge University Press
The book gathers together the main strands of the theory of ends of manifolds from the last thirty years and presents a unified and coherent treatment of them. It also contains authoritative expositions of mapping tori and telescopes.
(5028 views)
The Geometry and Topology of Braid Groupsby Jenny Wilson - University of Michigan
Contents: Five definitions of the braid group; The topology of Fn(C); The integral cohomology of the pure braid group; Generalizations of PBn and their cohomology; Transfer and twisted coefficients; Stability in the cohomology of braid groups; etc.
(447 views)
Diffeomorphisms of Elliptic 3-Manifoldsby S. Hong, J. Kalliongis, D. McCullough, J. H. Rubinstein - arXiv
The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature. For any elliptic 3-manifold M, the inclusion from the isometry group of M to the diffeomorphism group of M is a homotopy equivalence.
(4745 views)
Foliations and the Geometry of 3-manifoldsby Danny Calegari - Oxford University Press
The book gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.
(8150 views)