Let E be a subset of R. a) Prove that every subset A E contains a
Question:
a) Prove that every subset A ⊂ E contains a set B which is the largest subset of A that is relatively open in E.
b) Prove that every subset A ⊂ E is contained in a set B which is the smallest closed set containing A that is relatively closed in E.
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First we prove that relatively open sets are closed under arbitrary un...View the full answer
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