Knot (mathematics) - Formal Definition

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 (1940–1992)

    ... we all know the wag’s definition of a philanthropist: a man whose charity increases directly as the square of the distance.
    George Eliot [Mary Ann (or Marian)