Unformatted text preview: > ε > 0 such that  x n  > ε for inﬁnitely many n . Then B d (( x n ) , 1 2 ε ) ⊂ R ωC . ⊃ : Let ( x n ) ∈ C . For any 1 > ε > 0 we have  x n  < ε for all but ﬁnitely many n . Thus B d (( x n ) , 2 ε ) ∩ R ∞ 6 = ∅ . References 1...
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 Fall '08
 Brown
 Topology, Topological space, Xn, Rω, uniform topology

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