- #1
Zafa Pi
- 631
- 132
Let M = {p, x1, x2, x3, ...} be a metric space with no isolated points.
f: M → M is continuous with f(xn) = xn+1, and f(p) = p.
We say f separates if ∃ δ > 0, ∋ for any y and z there is some n with |fn(y) - fn(z)| > δ, where fn+1(y) = f(fn(y)).
QUESTION: Does f separate?
f: M → M is continuous with f(xn) = xn+1, and f(p) = p.
We say f separates if ∃ δ > 0, ∋ for any y and z there is some n with |fn(y) - fn(z)| > δ, where fn+1(y) = f(fn(y)).
QUESTION: Does f separate?