I don't understand what it means to have measure zero. Like I understand that the indicator functions is and what it does, but I am not exactly sure what measure zero is. Okay, I mean that I understand that:(adsbygoogle = window.adsbygoogle || []).push({});

## \int_{A} 1_{A} dx = \nu(A)##

and this is the "volume" of some region A in ##\mathbb{R}^{k}## and I understand that it has measure zero when volume is zero, but what is it useful for and whatismeasure zero

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# Measure zero

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