충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제25권2호
  • /
  • Pages.341-347
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  • 2012
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  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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THE ROLE OF BASE PATHS IN NIELSEN FIXED POINT THEORY

  • 발행 : 2012.05.15
⟨ 이전 논문 다음 논문 ⟩

초록

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Extending our work on Reidemeister orbit sets, we improve our theorem for formulae for Nielsen type essential orbit numbers.

키워드

참고문헌

  1. R. F. Brown, The Lefschetz Fixed Point Theorem, Scott, Foresman and Co., Glenview, IL, 1971.
  2. D. Ferrario, Computing Reidemeister classes, Fund. Math. 158 (1998), 1-18.
  3. P. R. Heath, R. Piccinini and C. You, Nielsen-type numbers for periodic points I, in: Topological Fixed Point Theory and Applications, Proceedings, (Tianjin 1988), B. Jiang (ed.), Lecture Notes in Math. 1411, Springer, Berlin 1989, 88-106.
  4. B. Jiang, Lectures on Nielsen Fixed Point Theory, Contemporary Mathematics 14 (American Mathematical Society, Providence, RI 1983).
  5. B. Jiang, S. H. Lee and M. H. Woo, Reidemeister orbit sets, Fund. Math. 183 (2004), 139-156. https://doi.org/10.4064/fm183-2-5
  6. E. Spanier, Algebraic Topology, McGraw-Hill, New York 1966.
  7. C. You, Fixed Point Classes of a Fibre Map, Pacific J. Math. 100 (1) (1992), 217-241.