How deep Sets affect Measure Theory?

zli034
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Guys,

I'm taking real analysis starting with open, close, compact sets, and neighborhoods. Now I'm addict to rely on these concepts to do my proofs. In the future I will have to take Measure Theory. Can anyone give me a percentage indication for how many percent theorems are proven by the set concepts?

I'm really happy with sets.

zli034
 
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Measure theory is really set theory at its core.
 
zli034 said:
Guys,

I'm taking real analysis starting with open, close, compact sets, and neighborhoods. Now I'm addict to rely on these concepts to do my proofs. In the future I will have to take Measure Theory. Can anyone give me a percentage indication for how many percent theorems are proven by the set concepts?

I'm really happy with sets.

zli034

If you mean how often are sets used in measure theory: 100%
If you mean how often are topological arguments (such as closed, open, compact) used: it depends, but perhaps 50%
 

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