===== Borel algebra =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $\langle X,\mathcal T\rangle \in \mathrm{TopSpace}(X) $ |

| @#FFBB00: definiendum | @#FFBB00: $\mathcal B(X):\equiv \sigma(\mathcal T)$ |

==== Discussion ====
The Borel algebra of $X$ is the smallest σ-algebra formed from its open sets.
==== Reference ====
Wikipedia: [[http://en.wikipedia.org/wiki/Borel_set|Borel set]]
==== Parents ====
=== Context ===
[[Topological space]], [[Smallest generated σ-algebra]]