Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A MINIMUM THEOREM FOR THE RELATIVE ROOT NIELSEN NUMBER

  • Yang, Ki-Yeol (Department of Mathematics Education Sunchon National University) ;
  • Zhao, Xuezhi (Department of Mathematics Capital Normal University)
  • Published : 2004.01.01
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Abstract

In [1], a relative root Nielsen number $N_{rel}(f;\;c)$ is introduced which is a homotopy invariant lower bound for the number of roots at $c\;{\in}\;Y$ for a map of pairs of spaces $f\;:\;(X,\;A)\;{\rightarrow}\;(Y,\;B)$. In this paper, we obtain a minimum theorem for $N_{rel}(f;\;c)$ under some new assumptions on the spaces and maps which are different from those in [1].

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References

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