Topology of simple singularities of ruled surfaces in \(\mathbb{R}^p\)
type: Item
instance of: scholarly article
title: Topology of simple singularities of ruled surfaces in \(\mathbb{R}^p\)
zbMATH Open document ID: 1247.58023
author: Grazielle Feliciani Barbosa
author: Rodrigo Martins
author: Marcelo José Saia
published in: Topology and its Applications
publication date: 2012-03-02T00:00:00Z
review text: The authors compare the simple singularities of germs from \(\mathbb{R}^2\) to \(\mathbb{R}^p\) with multiplicity \(2\) or \(3\) with the singularities appearing in the set of \(2\)-ruled surfaces.The paper is organized into six sections containing the following aspects: preliminaries, simple ruled surfaces in \(\mathbb{K}^4\), simple surfaces in \(\mathbb{K}^p\)(\(p\geq 5\), with multiplicity \(2\)), links and knots, projections and knot theory.
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 58K45
Mathematics Subject Classification ID: 57R45
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 6011290
zbMATH Keywords: simple singularities
zbMATH Keywords: ruled surfaces
zbMATH Keywords: link
zbMATH Keywords: knot
zbMATH Keywords: topology of surfaces
MaRDI profile type: Publication
full work available at URL: j.topol.2011.09.013
OpenAlex ID: W2047324239
cites work: Determinacy and unipotency
cites work: Finitely determined singularities of ruled surfaces in 3
cites work: Local topological properties of differentiable mappings. I
cites work: Singularities of ruled surfaces in \(\mathbb R^3\)
cites work: The doodle of a finitely determined map germ from \(\mathbb R^2\) to \(\mathbb R^3\)
cites work: On the Classification of Germs of Maps from R2 to R3
cites work: Real double-points of deformations of -simple map-germs from n to 2n
cites work: Unknotting combinatorial balls
DOI: 10.1016/J.TOPOL.2011.09.013
description: scientific article; zbMATH DE number 6011290