A survey of Nielsen periodic point theory (fixed n)

Heath, Philip

Banach Center Publications, Tome 50 (1999), p. 159-188 / Harvested from The Polish Digital Mathematics Library

Détail

Publié le : 1999-01-01

Zbl 0943.55002

EUDML-ID : urn:eudml:doc:208957

Bibliographie

[000] [1] R. F. Brown, The Lefschetz Fixed Point Theorem, Scott, Foresman, and Company, 1970.

[001] [2] O. Davey, E. L. Hart, and K. Trapp, Computation of Nielsen numbers for maps of closed surfaces, Trans. Amer. Math. Soc. 348 (1996), 3245-3266. | Zbl 0861.55003

[002] [3] B. Halpern, Periodic points on tori, Pacific J. Math. 83 (1979), 117-133. | Zbl 0438.58023

[003] [4] B. Halpern, Periodic points on the Klein bottle, never published.

[004] [5] B. Halpern, Nielsen type numbers for periodic points, never published.

[005] [6] E. L. Hart and E. C. Keppelmann, Explorations in Nielsen periodic point theory for the double torus, Topology Appl. 95 (1999), 1-30. | Zbl 1007.55002

[006] [7] P. R. Heath, Product formulae for Nielsen numbers of fibre maps, Pacific J. Math. 117 (1985), 267-289. | Zbl 0571.55002

[007] [8] P. R. Heath, A Nielsen type number for fibre-preserving maps, Topology Appl. 53 (1993), 19-35. | Zbl 0789.55003

[008] [9] P. R. Heath, Relating relative, fibred and absolute Nielsen numbers of periodic points, Talk given at the AMS meeting in Baton Rouge, Louisiana, April 19-21, 1996, special session on 'Fixed point theory and dynamical systems'

[009] [10] P. R. Heath, Nielsen type numbers for fibre preserving maps, coincidences of fibre preserving maps, and for periodic points of fibre preserving maps, C. R. Math. 14 (1992), 25-30. | Zbl 0752.55001

[010] [11] P. R. Heath and E. Keppelmann, Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds, C. R. Math. 16 (1994), 229-234. | Zbl 0834.55004

[011] [12] P. R. Heath and E. Keppelmann, Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds I, Topology Appl. 76 (1997), 217-247. | Zbl 0881.55002

[012] [13] P. R. Heath and E. Keppelmann, Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds II, to appear in Topology Appl. | Zbl 0953.55001

[013] [14] P. R. Heath, E. Keppelmann, and P. Wong, Addition formulae for Nielsen numbers and for Nielsen type numbers of fibre preserving maps, Topology Appl. 67 (1995), 133-157. | Zbl 0845.55004

[014] [15] P. R. Heath, R. Piccinini, and C. You, Nielsen type numbers for periodic points I, in: B. Jiang (ed.), Topological Fixed Point Theory and Applications, Lecture Notes in Math. 1411, Springer, Berlin, 1989. | Zbl 0689.55006

[015] [16] P. R. Heath, H. Schirmer, and C. You, Nielsen type numbers for periodic points on nonconnected spaces, Topology Appl. 63 (1995), 97-116. | Zbl 0827.55001

[016] [17] P. R. Heath, H. Schirmer, and C. You, Nielsen type numbers for periodic points on pairs of spaces, Topology Appl. 63 (1995), 117-138. | Zbl 0827.55002

[017] [18] P. R. Heath and C. You, Nielsen type numbers for periodic points II, Topology Appl. 43 (1992), 219-236. | Zbl 0744.55001

[018] [19] P. R. Heath and X. Zhao, Periodic points on the complement, to appear in Topology Appl. | Zbl 0948.55002

[019] [20] B. Jiang, Lectures on Nielsen Fixed Point Theory, Contemp. Math. 14, Amer. Math. Soc., Providence, 1983. | Zbl 0512.55003

[020] [21] B. Jiang, Applications of the Nielsen theory to dynamics, these proceedings.

[021] [22] E. Keppelmann, Periodic points on nilmanifolds and solvmanifolds, Pacific J. Math. 164 (1985), 105-128. | Zbl 0795.55002

[022] [23] E. Keppelmann and C. McCord, The Anosov theorem for exponential solvmanifolds, Pacific J. Math. 170 (1995), 143-159. | Zbl 0856.55003

[023] [24] C. McCord, Nielsen numbers and Lefschetz numbers on solvmanifolds, Pacific J. Math. 147 (1991), 153-164. | Zbl 0666.55002

[024] [25] H. Schirmer, A relative Nielsen number, Pacific J. Math. 122 (1986), 459-473. | Zbl 0553.55001

[025] [26] H. Schirmer, A survey of relative fixed point theory, in: Nielsen Theory and Dynamical Systems (Mt. Holyoke, 1992), Contemp. Math. 152, 1993, 291-3309.

[026] [27] P. Wong, Equivariant Nielsen numbers, Pacific J. Math. 159 (1993), 153-175. | Zbl 0739.55001

[027] [28] P. Wong, Fixed points on pairs of nilmanifolds, Topology Appl. 62 (1995), 173-179. | Zbl 0819.55002

[028] [29] C. You, A note on periodic points on tori, preprint.

[029] [30] C. You, The least number of periodic points on tori, Adv. in Math. 24 (1995), 155-160. | Zbl 0833.55003

[030] [31] X. Zhao, A relative Nielsen number for the complement, in: Topological Fixed Point Theory and Applications (Tianjin, 1998), Lecture Notes in Math. 1411, Springer, 1989, 257-265.