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half-open_subsets_of_ℝⁿ [2013/09/05 01:19] nikolaj |
half-open_subsets_of_ℝⁿ [2014/03/21 11:11] |
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| - | ===== Half-open subsets of ℝⁿ ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $p\in \mathbb N$ | | ||
| - | | @#FFBB00: $\mathfrak J^p\equiv\{\ ]a,b]\ |\ a,b\in\mathbb R^p\ \land\ a\le b\}$ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | This set is one which generates the $\sigma$-Algebra $\mathcal B^p$ of Borel subset of $\mathbb R^p$. | ||
| - | |||
| - | | @#FFBB00: $\mathfrak J\equiv \mathfrak J^1$ | | ||
| - | ==== Context ==== | ||
| - | === Requirements === | ||
| - | [[Real coordinate space]] | ||
