| context | $p\in \mathbb N$ |
| definiendum | $\mathcal B^p\equiv \mathcal B(\mathbb R^p)$ |
Where the corresponding σ-algebra is choosen to be the Euclidean topology.
We also set $\overline{\mathcal B}^p\equiv \mathcal B(\overline{\mathbb R}^p)$, see Euclidean topology.
Wikipedia: Borel set