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E80

[0KM] Let \({\mathcal B}\) be a base for a topology \(𝜏\) on \(X\); chosen an open set \(A∈ 𝜏\), for every \(x∈ A\) we can choose a \(B_ x∈ {\mathcal B}\) with \(x∈ B_ x\), and such that \(A=⋃_{x∈ A}B_ x \).

Solution 1

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Bibliography
Book index
  • space, topological
  • topological space
  • base, (topology)
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