-To do Lemma 1.3 for HW#6, one needs to show that if the sequences of functions (f_n) converge uniformly to a function f, then f is also in the C(R/Z;C) space.
-But right below this we are given a metric to work with, i.e. sup-norm.
-Shouldn't the metric be shown before this lemma? Without the metric, how is one to show uniform convergence?
---Chris#2