Flyping Conjecture

Also called the Tait Flyping Conjecture. Given two reduced alternating projections of the same knot, they areequivalent on the Sphere Iff they are related by a series of Flypes. It was proved byMenasco and Thistlethwaite (1991). It allows all possible Reduced alternating projectionsof a given Alternating Knot to be drawn.

References

Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 164-165, 1994.

Menasco, W. and Thistlethwaite, M. ``The Tait Flyping Conjecture.'' Bull. Amer. Math. Soc. 25, 403-412, 1991.

Stewart, I. The Problems of Mathematics, 2nd ed. Oxford, England: Oxford University Press, pp. 284-285, 1987.

• Borel Determinacy Theorem
• Borel Measure
• Borel Probability Measure
• Borel Set
• Borel's Expansion
• Borel Sigma Algebra
• Borel Space
• Borromean Rings
• Borrow
• Borsuk's Conjecture
• Borwein Conjectures
• Bouligand Dimension
• Bound
• Boundary
• Boundary Conditions
• Boundary Map
• Boundary Point
• Boundary Set
• Boundary Value Problem
• Bounded
• Bounded Variation
• Bound Variable
• Bourget Function
• Bourget's Hypothesis
• Boustrophedon Transform