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Simple-ribbon fusions and primeness of knots. (English) Zbl 1400.57007
##### MSC:
 57M25 Knots and links in the $$3$$-sphere (MSC2010)
##### Keywords:
ribbon fusions; simple-ribbon fusions; prime knots
Full Text:
##### References:
 [1] Kawauchi, A., A Survey of Knot Theory, (1996), Birkhäuser Verlag, Basel [2] Kishimoto, K.; Shibuya, T.; Tsukamoto, T., Simple-ribbon fusions and genera of links, J. Math. Soc. Japan, 68, 1033-1045, (2016) · Zbl 1357.57015 [3] Kishimoto, K.; Shibuya, T.; Tsukamoto, T., Simple-ribbon fusions on non-split links, J. Knot Theory Ramifications, 26, 15, (2017) · Zbl 1369.57011 [4] Scharlemann, M. G., Unknotting number one knots are prime, Invent. Math., 82, 37-55, (1985) · Zbl 0576.57004 [5] Shibuya, T.; Tsukamoto, T., Simple ribbon moves and primeness of knots, Tokyo J. Math., 36, 147-161, (2013) · Zbl 1282.57012
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