Topology of the space of nondegenerate curves
type: Item
instance of: scholarly article
title: Topology of the space of nondegenerate curves
zbMATH Open document ID: 0813.57026
DOI: 10.1007/BF01075643
publication date: 1994-07-06T00:00:00Z
review text: We calculate the number of homotopy classes of nondegenerate closed immersed curves in standard affine real \(n\)-dimensional space \(\mathbb{A}^ n = \mathbb{R}^ n\), the sphere \(S^ n\), and the real projective space \(\mathbb{P}^ n\), as well as the number of homotopy classes of vector- nondegenerate closed immersed curves in \(\mathbb{R}^ n\).
Mathematics Subject Classification ID: 57R42
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 571855
zbMATH Keywords: homotopy classes of nondegenerate closed immersed curves in standard affine real \(n\)-dimensional space
zbMATH Keywords: sphere
zbMATH Keywords: real projective space
zbMATH Keywords: vector- nondegenerate closed immersed curves
author: Michael Shapiro
MaRDI profile type: Publication
cites work: Q3994693
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 571855