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Borel subsets of the reals

Definition

$p\in \mathbb N$
$\mathcal B^p\equiv \mathcal B(\mathbb R^p)$

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

Parents

Subset of

Requirements

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