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borel_algebra [2013/08/14 22:07] nikolaj |
borel_algebra [2013/09/08 17:30] nikolaj |
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| ===== Borel algebra ===== | ===== Borel algebra ===== | ||
| ==== Definition ==== | ==== Definition ==== | ||
| - | | @#88DDEE: $\langle X,T\rangle \in \mathrm{TopSpace}(X) $ | | + | | @#88DDEE: $\langle X,\mathcal T\rangle \in \mathrm{TopSpace}(X) $ | |
| - | | @#55EE55: $\mathcal B(X):\equiv \sigma(T)$ | | + | | @#FFBB00: $\mathcal B(X):\equiv \sigma(\mathcal T)$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
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| ==== Reference ==== | ==== Reference ==== | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Borel_set|Borel set]] | Wikipedia: [[http://en.wikipedia.org/wiki/Borel_set|Borel set]] | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| - | === Parents === | + | === Requirements === |
| [[Topological space]], [[Smallest generated σ-algebra]] | [[Topological space]], [[Smallest generated σ-algebra]] | ||
