Let

\\\\Omega

be an open set in

C

. Prove that there exists a sequence\ of compact subsets

K_(n)sub\\\\Omega

such that

\\\\Omega _(i)

is contained in the\ interior of

\\\\Omega _(i+1)

for all

i>=1

and

\\\\cup K_(n)=\\\\Omega

.

Let be an open set in C. Prove that there exists a sequence of compact subsets Kn such that i is contained in the interior of i+1 for all i1 and Kn=. Let be an open set in C. Prove that there exists a sequence of compact subsets Kn such that i is contained in the interior of i+1 for all i1 and Kn=