Normal arcs and curves of K-order k+1

Abstract

Multiplicities are given to singular points on planar arcs or curves of order k + 1 with respect to a set K: of order characteristics with fundamental number k. It is shown that the sum of the multiplicities on such arcs is at most k + 1. (1991): Primary: 53C75, 51L05; secondary: 51L10. Mathematics Subject Classifications