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borel_algebra [2013/09/08 17:30] nikolaj |
borel_algebra [2014/03/21 11:11] |
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- | ===== Borel algebra ===== | ||
- | ==== Definition ==== | ||
- | | @#88DDEE: $\langle X,\mathcal T\rangle \in \mathrm{TopSpace}(X) $ | | ||
- | | @#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 ==== | ||
- | === Requirements === | ||
- | [[Topological space]], [[Smallest generated σ-algebra]] |