대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제28권2호
  • /
  • Pages.361-369
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  • 2013
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A NIELSEN TYPE NUMBER OF FIBRE PRESERVING MAPS

  • 투고 : 2012.04.20
  • 발행 : 2013.04.30
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초록

We introduce a Nielsen type number of a fibre preserving map, and show that it is a lower bound for the number of $n$-orbits in the homotopy class. Under suitable conditions we show that it is equal to the Nielsen type relative essential $n$-orbit number. We also give necessary and sufficient conditions for it and the essential $n$-orbit number to coincide.

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참고문헌

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