Let

(x_(1),d_(N))

and

(Y,d_(Y))

be metric spaces; let

Y

be complete. Let

Ainx

. Show Bat if

f:AdotsY

is uniformly continuous, then

f

can be iningely extended to in continuous function

g(:)/(b)ar (A)=Y

, and

g

is uniformly continuous.

2. Le (X,dx) and (Y,dY) be metric spaces; let Y be complete. Let AX. Show Aat If:AY is uniformly continuous, then f ean be inintuefy extended to a