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- W2070163497 abstract "Introduction. It is known that an oriented polygonal knot spans an orientable surface in E3 [3]. To construct such a surface, we first move the knot into a regular position; we define a collection of unknotted simple closed curves called Seifert circles; finally we attach a disjoint collection of disks to the Seifert circles. There is nothing in this construction that allows one to claim that the Seifert circles do not nest. If the Seifert circles are nonnested, then there is a projection of the surface into a plane which has singularities only at a finite number of points, i.e. below the crossing points of the knot. R. H. Fox [1 ] noted that by changing the knot diagram in particular cases he could have the Seifert circles nonnested. The following theorem states that this can always be done." @default.
- W2070163497 created "2016-06-24" @default.
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- W2070163497 date "1969-03-01" @default.
- W2070163497 modified "2023-09-24" @default.
- W2070163497 title "A note on Seifert circles" @default.
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- W2070163497 doi "https://doi.org/10.1090/s0002-9939-1969-0242144-6" @default.
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