Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How deep Sets affect Measure Theory?

  1. Jul 10, 2011 #1

    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.

  2. jcsd
  3. Jul 11, 2011 #2
    Measure theory is really set theory at its core.
  4. Jul 11, 2011 #3
    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%
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook