lecture 3, tuesday

(1) finished proving AA theorem.
(2) generalinzed to from C([0,1];R) to C(A;N) 
(3) Reiterated about convergence in C([01],R) and uniform convergeence.
(4) explained in detail te difference between compact in C([0,1];R) and
pointwise compact.

(5) start chap 6. begin with continuity. remarked about the equivalence
of L2, L1 AND Linfty metrics 9same open sets).