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