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How deep Sets affect Measure Theory?

  1. Jul 10, 2011 #1
    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
     
  2. jcsd
  3. Jul 11, 2011 #2
    Measure theory is really set theory at its core.
     
  4. Jul 11, 2011 #3

    micromass

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    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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