Approximations and decompositions in \(S^ 3\)
type: Item
instance of: scholarly article
title: Approximations and decompositions in \(S^ 3\)
zbMATH Open document ID: 0605.57010
DOI: 10.1016/0166-8641(86)90051-9
author: Richard Denman
author: Michael Starbird
published in: Topology and its Applications
publication date: 1986-01-01T00:00:00Z
review text: Taming theory for surfaces in Euclidean 3-space has made continued use of tame approximations to those surfaces. The authors investigate the extent to which k, \(k>1\), approximations can be made to intersect the sphere and each other nicely. The conclusion contains a number of technical conditions which we shall not repeat. However, the result is powerful enough to serve as the basis of a new proof of E. Woodruff's 2-sphere decomposition theorem. The result relies heavily on W. T. Eaton's difficult two-sided approximation theorem for 2-spheres.
Mathematics Subject Classification ID: 57N45
Mathematics Subject Classification ID: 57N35
Mathematics Subject Classification ID: 57N12
zbMATH DE Number: 3977944
zbMATH Keywords: side approximation
zbMATH Keywords: disjoint disks criterion
zbMATH Keywords: Taming theory for surfaces in Euclidean 3-space
zbMATH Keywords: two-sided approximation
MaRDI profile type: Publication
full work available at URL: 0166-8641(86)90051-9
OpenAlex ID: W2003227685
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description: scientific article; zbMATH DE number 3977944