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
Four-manifolds, Geometries and Knotsby Jonathan Hillman - arXiv
The goal of the book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and to provide a reference for the topology of such knots.
(7521 views)
Surgical Methods in Rigidityby F.T. Farrell - Springer
This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite.
(3868 views)
High-dimensional Knot Theoryby Andrew Ranicki - Springer
This book is an introduction to high-dimensional knot theory. It uses surgery theory to provide a systematic exposition, and it serves as an introduction to algebraic surgery theory, using high-dimensional knots as the geometric motivation.
(8393 views)
Knot Diagrammaticsby Louis H. Kauffman - arXiv
This paper is a survey of knot theory and invariants of knots and links from the point of view of categories of diagrams. The topics range from foundations of knot theory to virtual knot theory and topological quantum field theory.
(3066 views)