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If $X$ is a reflexive Banach space and $(C_n), n \in \mathbb{N}$ is a sequence of closed convex bounded sets with $C_{n+1}$ contained in $C_n$ for all $n \in \mathbb{N}$. How does one show that the countable intersection of $C_n$ for $n \in \mathbb{N}$ is not the empty set?

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    How does one mark some answers as correct?2012-06-10
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    http://meta.stackexchange.com/questions/5234/how-does-accepting-an-answer-work2012-06-10

2 Answers 2