Virgil
Posts:
8,833
Registered:
1/6/11


A tree with exactly one infinite path
Posted:
Aug 22, 2013 12:09 AM


Consider the binary tree in which every right child has a child and every left child is a terminal node.
Then there is in it for each member of N a left terminal node having that path length, and an infinite path of all right nodes to represent the set N itself, having one node at each length in N. 

