대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권3호
  • /
  • Pages.701-707
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

THE MINIMUM THEOREM FOR THE RELATIVE ROOT NIELSEN NUMBER

  • Yang, Ki-Yeol (Department of mathematics Education Sunchon National University)
  • 발행 : 1997.07.01
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초록

In [8], we introduce the relative root Nielsen number N(f;X, A, c) for maps of pairs of spaces $f : (X, A) \to (Y, B)$. From it, we obtain some immediate consequences of the definition and illustrate it by some examples. We consider the question whether there exists a map $g : (X, A) \to (Y, B)$ homotopic to a given map $f : (X, A) \to (Y, B)$ which has precisely N(f;X, A, c) roots, that is, the minimum theorem for N(f;X, A, c).

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참고문헌

  1. Amer. J. Math. v.95 Certain subgroups of the fundamental group and the numberof roots of f(x) = a R. Brooks
  2. Doctoral Dissertation, Univ. of Calfornia Coincidences, roots and fixed points R. Brooks
  3. A relative coincidence Nielsen numbers J. Jezierski
  4. The theory of fixed point classes T. Kiang
  5. Introduction to Piecewise-Linear Topology C. P. Rourke;B. J. Sanderso
  6. Pacific J. Math. v.122 A relative Nielsen number H. Schirmer
  7. Acta math. Sinica, New Series v.2 On the root classes of mapping L. Xiaosong
  8. Comm. Korean Math. Soc. v.11 A relative root Nielson number K. Y. Yang