Prime Decomposition of Knots in Lorenz-like Templates
Mike Sullivan
Abstract
R. F. Williams showed that all knots in the Lorenz template are prime. His proof included the cases where any number of positive twists were added to one of the template's branches. However, Williams does give an example of a composite knot in a template with a single negative twist. Below we will show that in all the negative cases composite knots do exist, and give a mechanism for producing many examples.
Create a lesson
Related papers
ω-limit sets of triangular maps over periodic orbits of the base
Juan Luis García Guirao
The full Kolakoski shift is topologically transitive
Andrew C. Mitchell, James J. Walton, Michael F. Whittaker
Delay-induced multirhythmicity in a 3-cell inhibitory network
Xinxin Qie, Morten Gram Pedersen, Jian Song et al.
Natural Expansiveness and Equilibrium States for Semiflows
Nelda Tamblay, Juan Francisco Peña
Largest-Angle Bisection and Statistical Regularization of Triangle Shapes
Jérôme Michaud
Planar Central Configurations of Four Equal Masses: Classification and Morse Indices
Xiaoxiang Huangfu, Huatong Shen