Triple Points and Singularities of Projections of Smoothly Immersed Surfaces
- 1 December 1974
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 46 (3) , 402-406
- https://doi.org/10.2307/2039937
Abstract
For a transversal smooth immersion of a closed -dimensional surface into Euclidean -space, the number of triple points is congruent modulo 2 to the Euler characteristic. The approach of this paper includes an introduction to normal Euler classes of smoothly immersed manifolds by means of singularities of projections.Keywords
This publication has 2 references indexed in Scilit:
- Twist invariants and the Pontryagin numbers of immersed manifoldsProceedings of Symposia in Pure Mathematics, 1975
- Triple Points and Surgery of Immersed SurfacesProceedings of the American Mathematical Society, 1974