Simple links and tangles
type: Item
instance of: scholarly article
title: Simple links and tangles
zbMATH Open document ID: 0531.57006
author: Teruhiko Soma
published in: Tokyo Journal of Mathematics
publication date: 1983-01-01T00:00:00Z
review text: The author introduces the notion of a simple tangle, and shows that a sum of two simple tangles is a simple link. Some practical criteria for a tangle to be simple are given; thus this paper provides an effective method for constructing simple links. As an application, it is shown that a link in \(S^ 3\) is concordant to a simple link with the same Alexander invariant. This sharpens results of \textit{S. A. Bleiler} [Pac. J. Math. 100, 249-257 (1982; Zbl 0519.57003)] and \textit{Y. Nakanishi} [Math. Semin. Notes, Kobe Univ. 8, 561-568 (1980; Zbl 0457.57003)].
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 3842759
zbMATH Keywords: simple link
zbMATH Keywords: simple tangle
zbMATH Keywords: Alexander polynomial
zbMATH Keywords: link concordance
reviewed by: Makoto Sakuma
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270214326
OpenAlex ID: W1985204040
DOI: 10.3836/TJM/1270214326
description: scientific article; zbMATH DE number 3842759