Borel subsets of the reals

Set

 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.

Discussion

We also set $\overline{\mathcal B}^p\equiv \mathcal B(\overline{\mathbb R}^p)$, see Euclidean topology.

Reference

Wikipedia: Borel set