===== Borel subsets of the reals =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $p\in \mathbb N$ |

| @#FFBB00: definiendum | @#FFBB00: $\mathcal B^p\equiv \mathcal B(\mathbb R^p)$ |

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: [[http://en.wikipedia.org/wiki/Borel_set|Borel set]]
==== Parents ====
=== Subset of ===
[[Euclidean topology]]
=== Context ===
[[Borel algebra]]