#### Volume 5, issue 2 (2005)

 Download this article For screen For printing
 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Other MSP Journals
Knots on a positive template have a bounded number of prime factors

### Michael C Sullivan

Algebraic & Geometric Topology 5 (2005) 563–576
##### 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