Question: Let E X be closed. a) Prove that E . b) Prove that E = E if and only if Eo = 0.

Let E ⊂ X be closed.
a) Prove that ϑE ⊂ £.
b) Prove that ϑE = E if and only if Eo = 0.
c) Show that b) is false if is not closed.

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