Extending immersed circles in the sphere to immersed disks in the ball
type: Item
instance of: scholarly article
title: Extending immersed circles in the sphere to immersed disks in the ball
zbMATH Open document ID: 0766.57018
DOI: 10.1007/BF02566506
author: J. Scott Carter
published in: Commentarii Mathematici Helvetici
publication date: 1993-01-11T00:00:00Z
full work available at URL: https://eudml.org/doc/140273
review text: 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.
Mathematics Subject Classification ID: 57R42
zbMATH DE Number: 86172
zbMATH Keywords: general position immersion of a circle into the 2-sphere with an even number of double points
zbMATH Keywords: immersions of the 2-disk in the 3-ball
zbMATH Keywords: triple points
reviewed by: Enrique Outerelo
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 86172