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borel_subsets_of_the_reals [2013/08/18 18:10] nikolaj |
borel_subsets_of_the_reals [2014/03/21 11:11] (current) |
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| - | ===== Borel subset of the reals ===== | + | ===== Borel subsets of the reals ===== |
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $p\in \mathbb N$ | | + | | @#55CCEE: context | @#55CCEE: $p\in \mathbb N$ | |
| - | | @#55EE55: $\mathcal B^p\equiv \mathcal B(\mathbb R^p)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\mathcal B^p\equiv \mathcal B(\mathbb R^p)$ | |
| Where the corresponding σ-algebra is choosen to be the [[Euclidean topology]]. | Where the corresponding σ-algebra is choosen to be the [[Euclidean topology]]. | ||
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| ==== Reference ==== | ==== Reference ==== | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Borel_set|Borel set]] | Wikipedia: [[http://en.wikipedia.org/wiki/Borel_set|Borel set]] | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| === Subset of === | === Subset of === | ||
| [[Euclidean topology]] | [[Euclidean topology]] | ||
| - | === Image of === | + | === Context === |
| [[Borel algebra]] | [[Borel algebra]] | ||
