Corpus ID: 17601413

Plumbers' knots

@inproceedings{Giusti2008PlumbersK,
  title={Plumbers' knots},
  author={C. Giusti},
  year={2008}
}
We describe a new version of finite-complexity knot theory in R and we resolve the fundamental questions about enumerating and distinguishing knot types in this theory. We further show that these knot spaces stabilize to a space with the components of the classical knot space, indicating that our results could lead to fundamental progress in that area as well. The curves we consider, called plumbers’ curves, are piecewise linear (hereafter, PL) curves which are restricted so that the image of… Expand
2 Citations

Figures and Tables from this paper

Unstable Vassiliev Theory
  • PDF
Small Examples of Cube Diagrams of Knots
  • 8
  • PDF

References

SHOWING 1-3 OF 3 REFERENCES
GEOMETRIC KNOT SPACES AND POLYGONAL ISOTOPY
  • 39
  • PDF
The Curvature of Lattice Knots
  • 18
Cube diagrams and a homology theory for knots
  • 8
  • Highly Influential
  • PDF