No 2-knot has triple point number two or three
Satoh, Shin
Osaka J. Math., Tome 42 (2005) no. 1, p. 543-556 / Harvested from Project Euclid
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It is known that a 2-knot has the triple point number less than two if and only if it is of ribbon-type. We prove that there is no 2-knot of triple point number two or three. Hence the 2-twist-spun trefoil, which is known as a 2-knot of triple point number four, is one of the simplest non-ribbon 2-knots.
Publié le : 2005-09-14
Classification:  
@article{1153494501,
     author = {Satoh, Shin},
     title = {No 2-knot has triple point number two or three},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 543-556},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494501}
}

Satoh, Shin. No 2-knot has triple point number two or three. Osaka J. Math., Tome 42 (2005) no. 1, pp.  543-556. http://gdmltest.u-ga.fr/item/1153494501/