Prove if o r is open then each connected component of o is
Prove, if O ⊂ R is open, then each connected component of O is open; i.e., if U ⊂ O is connected in R and if U ⊂ V ⊂ O is connected implies U = V , then U is open.
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prove if o sub r is open then each connected component of o is open ie if u sub o is connected in r and if u sub v sub
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