Knot theory
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 Intricate Celtic knotwork in the 1200 year old Book of Kells |
In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician's knot differs in that the ends are joined together so that it cannot be undone. In precise mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, R3. Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R3 upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting the string or passing the string through itself.
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- Related: Knots and graphs, Molecular knot, Quantum topology, Ribbon theory
| Movie Movie www.southalabama.edu/.../smoke%20rings.mpg - Web |
| History of knot theory History of knot theory www.maths.ed.ac.uk/~aar/knots - Web |
| KnotInfo: Table of Knot Invariants and Knot Theory... KnotInfo: Table of Knot Invariants and Knot Theory Resources www.indiana.edu/~knotinfo/ - Web |
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| KnotPlot KnotPlot knotplot.com - Web |
