Lefschetz coincidence class for several maps

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• 作者：Thaís F. M. Monis ; Stanisław Spież
• 关键词：Coincidence point ; Lefschetz coincidence number
• 刊名：Journal of Fixed Point Theory and Applications
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：18
• 期：1
• 页码：61-76
• 全文大小：670 KB
• 参考文献：1.Biasi C., Libardi A.K.M., Monis T.F.M.: The Lefschetz coincidence class of p maps. Forum Math. 27, 1717–1728 (2015)CrossRef MathSciNet
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  6.E. Spanier, Duality in topological manifolds. In: Colloque de Topologie Tenu á Bruxelles (Brussels, 1964), Librairie Universitaire, Louvain, 1966, 91–111.
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• 作者单位：Thaís F. M. Monis (1)
  Stanisław Spież (2)
  
  1. Department of Mathematics, IGCE, UNESP – Universidade Estadual Paulista, Av. 24-A no. 1515, 13506-900, Rio Claro/SP, Brazil
  2. Institute of Mathematics, Polish Academy of Sciences, ul.Śniadeckich 8, 00-656, Warsaw, Poland
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  Mathematical Methods in Physics
  
• 出版者：Birkh盲user Basel
• ISSN：1661-7746

文摘

The aim of this paper is to define a Lefschetz coincidence class for several maps. More specifically, for maps \({f_{1}, \ldots , f_{k} : X \rightarrow N}\) from a topological space X into a connected closed n-manifold (even nonorientable) N, a cohomological class $$L(f_{1}, \ldots , f_{k}) \in H^{n(k-1)}(X; (f_{1}, \ldots , f_{k}) ^{\ast} (R \times \Gamma^{\ast}_{N} \times \ldots \times \Gamma^{\ast} _{N}))$$is defined in such a way that \({L(f_{1}, \ldots , f_{k}) \neq 0}\) implies that the set of coincidences $${\rm Coin}(f_{1}, \ldots , f_{k}) = \{x \in X\,|\,f_{1}(x) = \ldots = f_{k}(x)\}$$is nonempty. Mathematics Subject Classification Primary 55M20 Secondary 54H25 Keywords Coincidence point Lefschetz coincidence number To Professor Carlos Biasi