Knotenlehre
Knotenlehre is the branch of mathematics that studies the properties and behavior of knots and links. The term "Knotenlehre" is German for "theory of knots". The subject has its roots in topology, a field of mathematics that deals with the properties of shapes and spaces that are preserved under continuous deformations.
Knotenlehre emerged as a distinct area of study in the 19th century, particularly through the work of
One of the central concerns in Knotenlehre is the classification of knots and links, which involves analyzing
The mathematical treatment of Knotenlehre draws on various areas of mathematics, including geometry, algebra, and combinatorics.