Answer to Question #15450 in Real Analysis for ran

Question

Pick out the compact sets.

a) {(z1,z2)∈C×C:(z1)2+(z2)2=1}.

b) The unit sphere in ℓ2, the space of all square summable real sequences, with its usual metric d((xi),(yi))=(∑i=1∞|xi−yi|2)1/2.

c) The closure of the unit ball of C1[0,1] in C[0,1].