borel_algebra

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Borel algebra

Set

context

$\langle X,\mathcal T\rangle \in \mathrm{TopSpace}(X)$

definiendum

$\mathcal B(X):\equiv \sigma(\mathcal T)$

Discussion

The Borel algebra of $X$ is the smallest σ-algebra formed from its open sets.

Reference

Wikipedia: Borel set

Parents

Context

Topological space, Smallest generated σ-algebra