본문 바로가기
KERD
논문KCI 등재

A Nielsen type number of fibre preserving maps

김승원|이승호
대한수학회 (The Korean Mathematical Society)|2013.04|대한수학회논문집 (Communications of the KMS)|제28권 제2호|pp. 361-369

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

essential n-orbit classesNielsen type numbersfibre spaces
주제분류수학

초록

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

Abstract

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

참고문헌 (12)

  1. R. F. Brown, "The Lefschetz Fixed Point Theorem" (1971), Scott, Foresman
  2. P. R. Heath, "Product formulae for Nielsen numbers of fibre maps", Pacific J. Math, 117(2), pp.267~289 (1985)
  3. P. R. Heath, "A Nielsen type number for fibre preserving maps", Topology Appl, 53(1), pp.19~35 (1993)
  4. P. R. Heath, "Nielsen-type numbers for periodic points I, In Topological fixed point theory and applications (Tianjin, 1988)", pp.88~106 (1989), Springer
  5. P. R. Heath, "Nielsen type numbers for periodic points on nonconnected spaces", Topology Appl, 63(2), pp.97~116 (1995)
  6. P. R. Heath, "Nielsen type numbers for periodic points on pairs of spaces", Topology Appl, 63(2), pp.117~138 (1995)
  7. B. Jiang, "Lectures on Nielsen Fixed Point Theory" (1983), Contemporary Mathematics
  8. B. Jiang, "Reidemeister orbit sets", Fund. Math, 183(2), pp.139~156 (2004)
  9. 이승호, "A relative Reidemeister orbit number", 대한수학회논문집, 21(1), pp.193~209 (2006), 대한수학회
  10. H. Schirmer, "A relative Nielsen number", Pacific J. Math, 122(2), pp.459~473 (1986)
  11. E. Spanier, "Algebraic Topology" (1966), McGraw-Hill
  12. C. You, "Fixed point classes of a fibre map", Pacific J. Math, 100(1), pp.217~241 (1992)

관련 논문AI추천

A NOTE ON NIELSEN TYPE NUMBERS이승호대한수학회 · 대한수학회논문집2010 · 제25권 제2호A minimum theorem for the relative root Nielsen numberKi-Yeol Yang, Xuezhi Zhao대한수학회 · 대한수학회논문집2004 · 제19권 제1호Estimation of the Number of Roots on the Complement양기열한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제1호Minimal sets of periods for maps on the Klein bottle김성숙, 김주영, Xuezhi Zhao대한수학회 · 대한수학회지2008 · 제45권 제3호Computation of the Nielsen type numbers for maps on the Klein bottle김현중, 유원석, 이종범대한수학회 · 대한수학회지2008 · 제45권 제5호A note on the set of root classes이승호대한수학회 · 대한수학회논문집2009 · 제24권 제3호

이 간행물의 다른 논문 (16건)

Cubic formula and cubic curves우성식pp. 209-224On kernel of ordered semigroups -- A corrigendumMichael Tsingelis, Niovi Kehayopulupp. 225-229A counterexample for improved Sobolev inequalities over the 2-adic groupDiego Chamorropp. 231-241General nonlinear random set-valued variational inclusion problems with random fuzzy mappings in Banach spacesJavad Balooeepp. 243-267A fixed point approach to the stability of the generalized polynomial functional equation of degree 2이양희, 진선숙pp. 269-283
원문 보기