Let E Rn and U be relatively open in E. a) If E, then
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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 the full answer
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