An integral region choice problem on knot projection

Abstract

In this paper we propose {\it a region choice problem} for a knot projection. This problem is an integral extension of Shimizu's 'region crossing change unknotting operation.' We show that there exists a solution of the region choice problem for all knot projections.

20 pages, 32 figures

References in corpus (2)

• On region crossing change and incidence matrix
• Region crossing change is an unknotting operation