Closed incompressible surfaces of arbitrarily high genus in the complements of certain star knots
type: Item
instance of: scholarly article
title: Closed incompressible surfaces of arbitrarily high genus in the complements of certain star knots
zbMATH Open document ID: 0822.57007
author: Richard F. Gustafson
published in: Rocky Mountain Journal of Mathematics
publication date: 1994-09-28T00:00:00Z
review text: One of the several results presented by \textit{U. Oertel} in [Pac. J. Math. 111, 209-230 (1984; Zbl 0549.57004)] is the determination of the closed incompressible surfaces in the complements of most star knots. Presented in this paper are the cases for some star knots not included in Oertel's discussion.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 645219
zbMATH Keywords: closed incompressible surfaces in the complements of star knots
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072417
OpenAlex ID: W1972416614
cites work: A simple genus one knot with incompressible spanning surfaces of arbitrarily high genus
cites work: Closed incompressible surfaces in complements of star links
DOI: 10.1216/RMJM/1181072417
description: scientific article; zbMATH DE number 645219