Carter, J. Scott Extending immersed circles in the sphere to immersed disks in the ball. (English) Zbl 0766.57018 Comment. Math. Helv. 67, No. 3, 337-348 (1992). The author considers a general position immersion of a circle into the 2- sphere with an even number of double points. Then between all immersions of the 2-disk in the 3-ball having the given curve as boundary, there is one with a minimum number of triple points. This minimum is obtained algorithmically in terms of a number that is associated to the Gauss word defined by the double point set of the immersed circle. Reviewer: E.Outerelo (Madrid) Cited in 4 Documents MSC: 57R42 Immersions in differential topology Keywords:general position immersion of a circle into the 2-sphere with an even number of double points; immersions of the 2-disk in the 3-ball; triple points PDFBibTeX XMLCite \textit{J. S. Carter}, Comment. Math. Helv. 67, No. 3, 337--348 (1992; Zbl 0766.57018) Full Text: DOI EuDML