Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds I

Topology and its Applications

Volumn 76, Issue 3, 1997, Pages 217-247

  Heath, Philip R ^a   Keppelmann, Ed ^b  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

^b UNIVERSITY OF NEVADA   (United States)

Author keywords

Nielsen numbers; Nilmanifolds; Periodic points; Solvmanifolds

Indexed keywords

EID: 0013248754     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(96)00100-9     Document Type: Article

References (9)

1. D.V. Anosov, The Nielsen number of maps of nil-manifolds, Russian Math. Surveys 40 (1985) 149-150.
2. R.F. Brown, The Lefschetz Fixed Point Theorem (Scott, Foresman, and Company, 1970).
3. R. Brooks, F. Brown, J. Pak and D. Taylor, Nielsen numbers of maps on tori, Proc. Amer. Math Soc. 52 (1975) 398-400.
4. E. Fadell and S. Husseini, On a theorem of Anosov on Nielsen numbers for nilmanifolds, in: Functional Analysis and its Application (Maratea, 1985), NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci. 173 (Reidel, Dordrecht / Boston, MA, 1986) 47-53.
5. E. Hart and E. Keppelmann, An exploration of Nielsen periodic point theory for the double torus, Preprint.
6. B. Halpern, Periodic points on tori, Pacific J. Math. 83 (1979) 117-133.
7. B. Halpern, Periodic points on the Klein bottle (Never published).
8. B. Halpern, Nielsen type numbers for periodic points (Never published).
9. P.R. Heath, Product formulae for Nielsen numbers of fibre maps, Pacific J. Math. 117 (1985) 267-289.