On the topology of n-valued maps
作者: Robert F. BrownDaciberg Lima Goncalves
作者单位: 1UCLA
2Universidade de Sao Paulo
刊名: Advances in Fixed Point Theory, 2018, Vol.8 (2), pp.205-220
来源数据库: Science & Knowledge Publishing Corporation Limited
原始语种摘要: This paper presents an exposition of the topological foundations of the theory of n-valued maps. By means of proofs that exploit particular features of n-valued functions, as distinct from more general classes of multivalued functions, we establish, among other properties, the equivalence of several definitions of continuity. The exposition includes an exploration of the role of configuration spaces in the study of n-valued maps. As a consequence of this point of view, we extend the classical Splitting Lemma, that is central to the fixed point theory of n-valued maps, to a characterization theorem that leads to a new type of construction of non-split n-valued maps.
全文获取路径: SCIK 
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关键词翻译
关键词翻译
  • valued 贵重的
  • exposition 博览会
  • topological 拓扑的
  • exploit 开发
  • point 
  • foundations 地基
  • topology 局部解剖学
  • features 特征
  • construction 构造
  • equivalence 等价