Search for "Knot theory" in article titles:

1. Knot theory: The study of the imbedding of a $ 1 $- dimensional manifold in $ 3 $- dimensional Euclidean space or in the sphere $ S ^ {3} $. In a wider sense the subject of knot theory is the imbedding of a sphere in a manifold (cf. (Mathematics) [100%] 2023-12-18
2. Knot theory: In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be ... (Study of mathematical knots) [100%] 2023-12-19 [Knot theory] [Low-dimensional topology]...
3. Knot theory: Welcome to the Wild World of Knots! The goal of this page is to provide a place to collaborate in creating new learning materials for this new and burgeoning area of mathematics with applications as diverse as biochemistry and string ... [100%] 2023-12-20 [Topology]
4. Link (knot theory): In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together. A knot can be described as a link with one component. (Knot theory) [81%] 2023-12-18 [Links (knot theory)] [Manifolds]...
5. Link (knot theory): In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together. A knot can be described as a link with one component. (Knot theory) [81%] 2023-11-21 [Manifolds]
6. Crossing number (knot theory): In the mathematical area of knot theory, the crossing number of a knot is the smallest number of crossings of any diagram of the knot. It is a knot invariant. (Knot theory) [70%] 2024-01-09 [Knot invariants]
7. History of knot theory: Knots have been used for basic purposes such as recording information, fastening and tying objects together, for thousands of years. The early significant stimulus in knot theory would arrive later with Sir William Thomson (Lord Kelvin) and his vortex theory ... (none) [70%] 2024-03-04 [Knot theory]
8. Milnor conjecture (knot theory): In knot theory, the Milnor conjecture says that the slice genus of the ( p , q ) {\displaystyle (p,q)} torus knot is It is in a similar vein to the Thom conjecture. It was first proved by gauge theoretic methods by ... (Knot theory) [70%] 2025-01-28 [Geometric topology] [Knot theory]...
9. Journal of Knot Theory and Its Ramifications: The Journal of Knot Theory and Its Ramifications was established in 1992 by Louis Kauffman and was the first journal purely devoted to knot theory. It is an interdisciplinary journal covering developments in knot theory, with emphasis on creating connections ... [53%] 2023-03-30 [Mathematics journals]