HOMOTOPY CLASSES OF SURFACES WITH CUSPIDA L EDGES AND DOVETAILS IN 3-SPACE

Authors
LANGEVIN R LEVITT G ROSENBERG H
Citation
R. Langevin et al., HOMOTOPY CLASSES OF SURFACES WITH CUSPIDA L EDGES AND DOVETAILS IN 3-SPACE, Canadian journal of mathematics, 47(3), 1995, pp. 544-572
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
47
Issue
3
Year of publication
1995
Pages
544 - 572
Database
ISI
SICI code
0008-414X(1995)47:3<544:HCOSWC>2.0.ZU;2-T
Abstract
We consider surfaces in R(3) with generic wave front singularities, ca lled A-mersions (A for Arnold who classified these singularities). We classify A-mersions up to generic homotopy. For the sphere they are cl assified by the degree of the Gauss map, and for higher genus surfaces the degree of the Gauss map and the number of zig-zags classify the A -mersion.