The normal Euler class and singularities of projections for polyhedral surfaces in 4-space
type: Item
instance of: scholarly article
title: The normal Euler class and singularities of projections for polyhedral surfaces in 4-space
zbMATH Open document ID: 0898.57010
DOI: 10.1016/S0040-9383(97)00011-6
author: Tom Banchoff
author: Ockle Johnson
published in: Topology
publication date: 1998-02-05T00:00:00Z
review text: The authors' summary: ``This paper defines the normal Euler number and the normal Euler class for polyhedral surfaces in 4-space by means of singularities of projections into hyperplanes. There exist polyhedral analogues of nearly all of Whitney's theorems on normal Euler classes of surfaces smoothly immersed in 4-space. However, although the normal Euler number of a smooth embedding of the real projective plane in 4-space must be plus or minus 2, the normal Euler number of a (locally knotted) polyhedral embedding of the real projective plane can be any integer congruent to 2 modulo 4''.
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 57Q35
zbMATH DE Number: 1113444
zbMATH Keywords: polyhedral surface
zbMATH Keywords: normal Euler class
zbMATH Keywords: Whitney's theorems on normal Euler classes of surfaces smoothly immersed in 4-space
reviewed by: Francisco Gómez
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1113444