Question: Let E Rn and U be relatively open in E. a) If E, then = . b) If U

Let E ⊂ Rn and U be relatively open in E.
a) If ⋃ ⊂ E°, then ⋃ ∩ ϑ⋃ = θ.
b) If U ∩ ϑE ≠ 0, then U ∩ ϑU = ⋃ ∩ ϑE.

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Part a follows directly from Remark 827ii To prove part b let x UA and ... View full answer

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