Periodic segments and Nielsen numbers
Volume 47 / 1999
Banach Center Publications 47 (1999), 247-252
DOI: 10.4064/-47-1-247-252
Abstract
We prove that the Poincaré map $φ_{(0,T)}$ has at least $N(\tilde h, cl(W_{0} \ W_{0}^{-}) )$ fixed points (whose trajectories are contained inside the segment W) where the homeomorphism $\tilde h$ is given by the segment W.