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## Half-open subsets of ℝⁿ

### Definition

 $p\in \mathbb N$
 $\mathfrak J^p\equiv\{\ ]a,b]\ |\ a,b\in\mathbb R^p\ \land\ a\le b\}$

### Discussion

This set is one which generates the $\sigma$-Algebra $\mathcal B^p$ of Borel subset of $\mathbb R^p$.

 $\mathfrak J\equiv \mathfrak J^1$