An integral region choice problem on knot projection

2012/01/22 by Kazushi Ahara, Ahara, Kazushi, Masaaki Suzuki +1 · 1 citation
Computer Science · Engineering · Mathematics · #05C50 #57M25 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:05C50 #msc:57M25 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1201.4539

20 pages, 32 figures

arxiv created 2012/01/22 · openalex publication_date 2012/01/22 · arxiv updated 2012/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Region crossing change on nonorientable surfaces

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