Formal Definition
A knot is an embedding of the circle (S1) into three-dimensional Euclidean space (E3). Two knots are defined to be equivalent if there is an ambient isotopy between them.
Read more about this topic: Knot (mathematics)
Famous quotes containing the words formal and/or definition:
“The bed is now as public as the dinner table and governed by the same rules of formal confrontation.”
—Angela Carter (19401992)
“... we all know the wags definition of a philanthropist: a man whose charity increases directly as the square of the distance.”
—George Eliot [Mary Ann (or Marian)