Borel subsets of the reals

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