Question: 4.7.7 Introduce for any set ECR the notation OE = {xx is a boundary point of E}. (a) Show for any set E that

4.7.7 Introduce for any set ECR the notation OE = {xx is a boundary point of E}. (a) Show for any set E that E = E^(R\E). (b) Show that for any set E the set E is closed. (c) For what sets E is it true that E = 0?

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a To show that DE ERE for any set E we need to prove two inclusions 1 DE CE RE Let x DE ie x is a bo... View full answer

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