in my readings, spivak or elsewhere, i've come across this several times but i don't have the formal training (maturity) to know how to use it. intuitively: by the atlas maps on the manifold, we can chop up a manifold into patchs. for each patch, by smoothness or something, there is a smooth function whose (this is where i give up) support in nonzero. since these functions are nonzero on each patch and add up to unity, we can sum up these up over the entire manifold.(adsbygoogle = window.adsbygoogle || []).push({});

is 'support of a function' an integrability contition that allows for nonzero terms in the sum like the characteristic function on a riemann integral?

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# Partitions of unity: support of a function

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