Is the Finite Intersection of Open Sets and Open Set? | Topology | Point-Set Topology
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Is the Finite Intersection of Open Sets and Open Set? | Topology | Point-Set Topology
If { 𝑈ᵢ : 𝑖 = 1, 2, 3, …, 𝑛 } is a finite collection of open sets, then ⋂ { 𝑈ᵢ : 𝑖 = 1, 2, 3, …, 𝑛 } is an open set. Master a core result from topology and real analysis. In this lesson you prove that the finite intersection of open sets in ℝ is open. We restate openness via epsilon-intervals, assume an element in ...
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