Let X be a metric space and C = {FCX | ECF and F is closed}....
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Let X be a metric space and C = {FCX | ECF and F is closed}. If E = EUE'. Prove that: E = F. FEC Likewise, let O = {GCX | G C E and G is open}. Prove that: E° = UG. GEO Let X be a metric space and C = {FCX | ECF and F is closed}. If E = EUE'. Prove that: E = F. FEC Likewise, let O = {GCX | G C E and G is open}. Prove that: E° = UG. GEO
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To prove the given statements we will use the definitions and properties of closed sets and open sets in a metric space 1 Proving E F Lets start by pr... View the full answer
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