IRREDUCIBLE REIDEMEISTER ORBIT SETS

• 발행기관: 충청수학회
• 저자명: Seoung Ho Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 4, 721~734쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.11.30

영문 초록

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen xed point theory. Extending our work on Rei-demeister orbit sets, we obtain algebraic results such as addition formulae for irreducible Reidemeister orbit sets. Similar formulae for Nielsen type irreducible essential orbit numbers are also proved for bre preserving maps.

목차

1. Introduction

2. Irreducible Reidemeister n-orbit sets

3. Nielsen type irreducible essential n-orbit numbers.