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Can we approximate a bounded upper semicontinuous function by increasing continuous sequences? Even though the inverse question is obvious.

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  • $\begingroup$ You you mean sequences of functions? By increasing do you mean that each function is increasing? $\endgroup$
    – copper.hat
    Feb 3 '17 at 16:33
  • $\begingroup$ Yes. It means increasing continuous functions $\endgroup$
    – Yanner
    Feb 3 '17 at 16:34

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