Knot Theory is a branch of topology that deals with knots and links. In topology, a sphere is the same as a cube, and a doughnut is the same as a coffee cup. It does not deal with the rigid properties of objects, such as length and angles, but instead the properties that no amount of bending, twisting, stretching, or shrinking can change.
A knot is a closed, one dimensional, and non-intersecting curve in three-dimensional space. From a more mathematical and set-theoretic standpoint, a knot is a homeomorphism that maps a circle into three-dimensional space and cannot be reduced to the unknot by an ambient isotopy.
Throughout the history of Knot Theory, its founders kept the theory alive by finding uses for the study. From the atomic theory proposed by Lord Kelvin to the discovery of a DNA molecule in the form of a trefoil knot, a purpose and inspiration for knot theory always existed. The applications of knot theory today stretches through chemistry and molecular biology and into the world of quantum mechanics and the universal Theory of Everything.
There continues to be ongoing research in the field of knot theory today. We feel that knot theory will always be more than just a mathematical curiosity and hope you will enjoy visiting our site.