Algebraic & Geometric Topology Volume 5, issue 2 (2005)

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Knots on a positive template have a bounded number of prime factors

Michael C Sullivan

Algebraic & Geometric Topology 5 (2005) 563–576

DOI: 10.2140/agt.2005.5.563

Bibliography

1	J S Birman, R F Williams, Knotted periodic orbits in dynamical system II: Knot holders for fibered knots, from: "Low-dimensional topology (San Francisco, Calif., 1981)", Contemp. Math. 20, Amer. Math. Soc. (1983) 1 MR718132
2	G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (2003) MR1959408
3	P R Cromwell, Positive braids are visually prime, Proc. London Math. Soc. $(3)$ 67 (1993) 384 MR1226607
4	J Franks, R F Williams, Entropy and knots, Trans. Amer. Math. Soc. 291 (1985) 241 MR797057
5	R W Ghrist, Branched two-manifolds supporting all links, Topology 36 (1997) 423 MR1415597
6	R W Ghrist, P J Holmes, M C Sullivan, Knots and links in three-dimensional flows, Lecture Notes in Mathematics 1654, Springer (1997) MR1480169
7	M Ozawa, Closed incompressible surfaces in the complements of positive knots, Comment. Math. Helv. 77 (2002) 235 MR1915040
8	M C Sullivan, Composite knots in the figure-8 knot complement can have any number of prime factors, Topology Appl. 55 (1994) 261 MR1259509
9	M C Sullivan, The prime decomposition of knotted periodic orbits in dynamical systems, J. Knot Theory Ramifications 3 (1994) 83 MR1265454
10	M C Sullivan, Factoring positive braids via branched manifolds, Topology Proc. 30 (2006) 403 MR2281963
11	R F Williams, Lorenz knots are prime, Ergodic Theory Dynam. Systems 4 (1984) 147 MR758900