Invertible Knot

A knot which can be deformed into itself but with the orientation reversed. The simplest noninvertible knot is08-017. No general technique is known for determining if a Knot is invertible. Burde and Zieschang (1985)give a tabulation from which it is possible to extract the invertible knots up to 10 crossings.

References

Burde, G. and Zieschang, H. Knots. Berlin: de Gruyter, 1985.

• Function Field
• Function Space
• Functor
• Fundamental Class
• Fundamental Continuity Theorem
• Fundamental Discriminant
• Fundamental Forms
• Fundamental Group
• Fundamental Homology Class
• Fundamental Lemma of Calculus of Variations
• Fundamental System
• Fundamental Theorem of Algebra
• Fundamental Theorem of Arithmetic
• Fundamental Theorem of Curves
• Fundamental Theorem of Directly Similar Figures
• Fundamental Theorem of Gaussian Quadrature
• Fundamental Theorem of Genera
• Fundamental Theorem of Plane Curves
• Fundamental Theorem of Projective Geometry
• Fundamental Theorem of Space Curves
• Fundamental Theorem of Symmetric Functions
• Fundamental Theorems of Calculus
• Fundamental Unit
• Funnel
• Fuss's Problem