2019/08/16 by Belousov, Yury, Malyutin, Andrei · 1 citation
#57M25 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1908.06187
We show that the proportion of hyperbolic knots among all of the prime knots of n or fewer crossings does not converge to 1 as n approaches infinity. Moreover, we show that if K is a nontrivial knot then the proportion of satellites of K among all of the prime knots of n or fewer crossings does not converge to 0 as n approaches infinity.