Intersection non empty

Real Analysis
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Tolaso J Kos
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Intersection non empty

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Post by Tolaso J Kos »

Let $\{V_n \}$ be a nested , decreasing sequence of open sets; each of which contains a finite union of intervals whose total length is above some fixed bound $\epsilon$. Prove that $\displaystyle \bigcap_{n=1}^{\infty} V_n \neq \varnothing$.
Imagination is much more important than knowledge.
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