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Types of fixed points of index one of surface homeomorphisms
Published online by Cambridge University Press: 06 August 2001
Abstract
Given an isolated fixed point p of index one, of an area- and orientation-preserving homeomorphism f of a surface, we define a type (positive, negative) for a lift of f to the universal cover of D\setminus \{p\}, where D is a small disc neighbourhood of p. Using this concept, we establish a new kind of fixed point theorem. Furthermore, a refinement of the Arnold conjecture for a surface homeomorphism is obtained.
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- 2001 Cambridge University Press
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