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- #2

- Jan 26, 2012

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Hi Fermat,Let K be a compact space and let B be the space of bounded borel functions on K equipped with the supremum norm. Show that simple functions (i.e. functions attaining only a finite number of values) are dense in B.

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- #3

- Jan 26, 2012

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I think this would do it,

Show simple functions are dense

Show simple functions are dense