连续树映射的非游荡集

Nonwandering Sets of Continuous Self-Maps of the Tree

研究树

For a continuous map f of the tree T to itself, we show: (1) Ω(f)- P(f) is nowhere dense and countable in T . (2) Let T-O=∪n 0j=1I j, then for any j 0∈{1,2,…,n}, every connected component C of (T- P(f) )∩I j 0  has at most one nonwandering point with infinte orbit.