Abstract.
We prove that a self map \(f : M \to M\) of a PL-manifold of dimension \(\ge 4 \) is homotopic to a map with no periodic points of period n iff the Nielsen numbers \(N(f^k)\) (k divides n) disappear.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 15 December 1999 / Accepted: 25 September 2000 / Published online: 18 June 2001
Rights and permissions
About this article
Cite this article
Jezierski, J. Cancelling periodic points. Math Ann 321, 107–130 (2001). https://doi.org/10.1007/PL00004497
Issue Date:
DOI: https://doi.org/10.1007/PL00004497