COMPUTATION OF NIELSEN NUMBERS FOR CERTAIN MAPS OF HYPERBOLIC SURFACES

• 발행기관: 충청수학회
• 저자명: Seung Won Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 2, 243~249쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2015.05.30

국문 초록

Let X be a closed surface for which the Euler charac-teristic χ(X) is negative, and let f : X → X be a self-map that is not surjective. In this short paper, we prove that we can compute the Nielsen number of f , N (f ), under some algebraic conditions.

목차

1. Introduction

2. Nielsen number on hyperbolic surfaces with boundary

3. Nielsen number on closed hyperbolic surfaces

키워드

fixed point Nielsen number hyperbolic surface.