대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제24권3호
  • /
  • Pages.451-458
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  • 2009
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A NOTE ON THE SET OF ROOT CLASSES

  • 발행 : 2009.07.31
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초록

The set of root classes plays a crucial role in the Nielsen root theory. Extending Brown et al.'s work on the set of root classes of iterates of maps, we rearrange it into the reduced orbit set and show that under suitable hypotheses, any reduced orbit has the full depth property as in the Nielsen type theory of periodic orbits.

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참고문헌

  1. R. F. Brown, B. Jiang and H. Schirmer, Roots of iterates of maps, Topology Appl. 66 (1995), 129–157 https://doi.org/10.1016/0166-8641(95)00024-B
  2. B. Jiang, Lectures on Nielsen Fixed Point Theory, Contemporary Mathematics 14 American Mathematical Society, Providence, RI, 1983
  3. B. Jiang, S. H. Lee, and M. H. Woo, Reidemeister orbit sets, Fund. Math. 183 (2004), 139–156
  4. T. Kiang, The Theory of Fixed Point Classes, Springer, Berlin, 1989
  5. E. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966