Bridge index for theta curves in the 3-sphere
type: Item
instance of: scholarly article
title: Bridge index for theta curves in the 3-sphere
zbMATH Open document ID: 0888.57003
DOI: 10.1016/S0166-8641(96)00177-0
author: Hiroshi Goda
published in: Topology and its Applications
publication date: 1998-05-25T00:00:00Z
review text: The author generalizes the notion of bridge presentation, bridge index, thin position and primeness to theta curves which are graphs in 3-sphere consisting of two vertices and three edges. A result of \textit{A. Thompson} [Topology 36, No. 2, 505-507 (1997; Zbl 0867.57009)] will be generalized in the article stating that under certain conditions thin position of a theta curve coincides with the bridge presentation related to the bridge index of the theta curve. It is shown that theta curves with bridge index 2 are prime.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 1067517
zbMATH Keywords: bridge index
zbMATH Keywords: bridge presentation
zbMATH Keywords: theta curve
zbMATH Keywords: thin position
reviewed by: Bernhard Drabant
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1067517