Fixed points of n-valued maps on surfaces and the Wecken property a configuration space approach

• 作 者: GONCALVES Daciberg Lima GUASCH
• 机 构: DepartamentodeMatemdtica&,IME,LaboratoiredeMathematiquesNicolasOresmeUMRCNRS6139
• 出 处: 中国科学：数学英文版
• 发表日期: 2017年9期
• 关键词: 配置空间 地图 n值 NIELSEN数 性质 固定点 曲面 不动点理论 multivalued maps fixed points Wecken prope
• 基金项目: The first author was supported by Fundacao de Amparo a Pesquisa do Estado de Sao Paulo （FAPESP）, Projeto Tematico Topologia Algebrica, Geometrica e Diferencial （Grant No. 2012/24454-8）. The second aut

In this paper, we explore the fixed point theory of n-valued maps using configuration spaces and braid groups, focusing on two fundamental problems, the Wecken property, and the computation of the Nielsen number. We show that the projective plane(resp. th