A knot having the property that no surgery could possibly yield a counterexample to the Poincaré
conjecture is said to satisfy Property 
(Adams 1994, p. 262).
Property P
See also
P-Problem, P Versus NP Problem, Poincaré ConjectureExplore with Wolfram|Alpha
References
Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, 1994.Referenced on Wolfram|Alpha
Property PCite this as:
Weisstein, Eric W. "Property P." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PropertyP.html