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Let X be a metric space and C = {FCX | ECF and F is closed}. If E = EUE'. Prove that: E =

Let X be a metric space and C = {FCX | ECF and F is closed}. If = EU E'. Prove that: E = F. FEC Likewise,

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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