The Centres of Gravity of Periodic Orbits

摘要

Let f : I → I be a continuous map. If P (n, f) = {x ∈I; fn (x) = x} is a finite set for each n ∈ N, then there exits an anticentered map topologically conjugate to f, which partially answers a question of Kolyada and Snoha. Specially, there exits an anticentered map topologically conjugate to the standard tent map.