Theorie der Normalflächen

  title={Theorie der Normalfl{\"a}chen},
  author={W. v. Haken},
  journal={Acta Mathematica},
  • W. Haken
  • Published 1961
  • Mathematics
  • Acta Mathematica
Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I
For the generation of inverse time characteristics for time-lag type over-current relays or the like, by approximation of the time function by means of individual, linear parts into a time functionExpand
Automated Reidemeister Moves: A Numerical Approach to the Unknotting Problem
In mathematics, a knot is a single strand of string crossed over itself any number of times, and connected at the ends. The Reidemeister Moves have been proven to be the three core moves necessary toExpand
Tracing compressed curves in triangulated surfaces
The abstract tracing strategy is applied to two different classes of normal curves: abstract curves represented by normal coordinates, which record the number of intersections with each edge of the surface triangulation, and simple geodesics, represented by a starting point and direction in the local coordinate system of some triangle. Expand
The first 1,701,936 knots
inc lude all pr ime knots wi th 16 or fewer crossings. This r epresen t s more than a 130-fold increase in the number of t abu la ted knots s ince the last burs t of tabula t ion tha t t ook p laceExpand
Incompressibility criteria for spun-normal surfaces
We give a simple sufficient condition for a spun-normal surface in an ideal triangulation to be incompressible, namely that it is a vertex surface with non-empty boundary which has a quadrilateral inExpand
Chapter 49 – Computational topology
Publisher Summary This chapter provides an overview of computational topology. The first usage of the term “computational topology” appears to have occurred in the dissertation of M. Mantyla. TheExpand
The discovery 18 years ago by Vaughan Jones of a powerful new polynomial invariant for knots and links began a revolution in knot theory. Of the nearly 8,000 Mathematical Reviews about knots, moreExpand
A Chapter in Physical Mathematics: Theory of Knots in the Sciences
In the last twenty years a body of mathematics has evolved with strong direct input from theoretical physics, for example from classical and quantum field theories, statistical mechanics and stringExpand


Topologie der Polyeder und kombinatorische Topologie der Komplexe
THE first systematic exposition of combinatory topology was made by Dehn and Heegaard in a section of the “Enzyklopadie der mathemat-ischen Wissenschaften”, in which the exact concepts involved areExpand
On the Imbedding of Polyhedra in 3-Space
The object of our investigation is spherical 3-space S and its polyhedral subsets. The sets which come into consideration are all to be polyhedral (or polygonal) even when this is not explicitlyExpand
On the Subdivision of 3-Space by a Polyhedron.
  • J. W. Alexander
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1924