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borel_subsets_of_the_reals [2013/09/06 23:13] nikolaj |
borel_subsets_of_the_reals [2014/03/21 11:11] |
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| - | ===== Borel subsets of the reals ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $p\in \mathbb N$ | | ||
| - | | @#55EE55: $\mathcal B^p\equiv \mathcal B(\mathbb R^p)$ | | ||
| - | |||
| - | Where the corresponding σ-algebra is choosen to be the [[Euclidean topology]]. | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | We also set $\overline{\mathcal B}^p\equiv \mathcal B(\overline{\mathbb R}^p)$, see [[Euclidean topology]]. | ||
| - | ==== Reference ==== | ||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Borel_set|Borel set]] | ||
| - | ==== Parents ==== | ||
| - | === Subset of === | ||
| - | [[Euclidean topology]] | ||
| - | === Requirements === | ||
| - | [[Borel algebra]] | ||
