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| - | ===== Borel algebra ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $\langle X,\mathcal T\rangle \in \mathrm{TopSpace}(X) $ | | ||
| - | | @#55EE55: $\mathcal B(X):\equiv \sigma(\mathcal T)$ | | ||
| - | |||
| - | ==== 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]] | ||
