| Problem Set |
Chapter |
Problems |
|---|---|---|
| 22 | ∗29 | (Do this one again, hopefully better.) Let X be a compact metric space, and assume fn: X → C for each n = 1, 2, ... Assume also that fn: X → C. Show that the sequence (fn) converges uniformly to f on X if and only if fn(xn) - f(xn) → 0 for every convergent sequence (xn) in X. |
| ∗33 | Do part (d). (See PS21 for details.) | |
| n | manditory problem |
| ∗n | manditory problem, not from text |
| (n) | helper problem |
| [n] | ungraded problem |
| [∗n] | ungraded problem, not from text |
| {n} | optional problem |