Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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The Product Formula For Nielsen Root number

  • Yang, Ki-Yeol (Department of Mathematics Education Sunchon National University)
  • Published : 2000.04.01
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Abstract

In [6], Cheng-Ye You gave a condition equivalent to the Nielsen number product formula for fiber maps. And Jerzy Jezierski also gave a similar condition for coincidences of fiber maps. The main purpose of this paper is to find the condition for which holds the product formula for Nielsen root numbers N(f;a) = N(f;a) N(fb;a).

Keywords

References

  1. Nielsen root theory and Hopf degree theory R. F. Brown;H. Schirmer
  2. Fund. Math. v.134 The Nielsen number product formula for coincidences J. Jezierski
  3. Fund. Math v.140 Semi-index product formula J. Jezierski
  4. Contemp. Math. Amer. Math. Soc Lectures on the Nielsen Fixed point Theory B. J. Jiang
  5. The Theory of Fixed Point Classes T. H. Kiang
  6. Pacific J. of Math v.100 Fixed point classes of fiber map C. Y. You