Minimal triple point numbers of some non-orientable surface-links

Shin Satoh

Vol. 197 (2001), No. 1, 213–221

DOI: 10.2140/pjm.2001.197.213

Abstract

An embedded surface in R⁴ is projected into R³ with the double point set which includes a finite number of triple points. We consider the minimal number of such triple points among all projections of embedded surfaces which are ambient isotopic to a given surface and show that for any non-negative integer N there exists a 2-component non-orientable surface in R⁴ whose minimal triple point number is equal to 2N.

Milestones

Received: 20 April 1999

Revised: 7 July 1999

Published: 1 January 2001