Outer measure: Difference between revisions

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* <math> \mu^*(A) \leq \mu^*(B)</math> if <math> A \subseteq B</math>
* <math> \mu^*(A) \leq \mu^*(B)</math> if <math> A \subseteq B</math>
* <math> \mu* (\cup_{j=1}^\infty A_j) \leq  \sum_{j=1}^\infty \mu^*(A_j).</math>
* <math> \mu* (\cup_{j=1}^\infty A_j) \leq  \sum_{j=1}^\infty \mu^*(A_j).</math>
==References==
<references>
<ref name="Folland">[Gerald B. Folland, ''Real Analysis: Modern Techniques and Their Applications, second edition'', Chapter 1.]</ref>

Revision as of 14:23, 20 October 2020

Let be a nonempty set. An outer measure on the set is a function such that

  • if


References

<references> [1]

  1. [Gerald B. Folland, Real Analysis: Modern Techniques and Their Applications, second edition, Chapter 1.]