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borel_algebra [2013/08/18 14:48] nikolaj |
borel_algebra [2014/03/21 11:11] (current) |
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===== Borel algebra ===== | ===== Borel algebra ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $\langle X,\mathcal T\rangle \in \mathrm{TopSpace}(X) $ | | + | | @#55CCEE: context | @#55CCEE: $\langle X,\mathcal T\rangle \in \mathrm{TopSpace}(X) $ | |
- | | @#55EE55: $\mathcal B(X):\equiv \sigma(\mathcal T)$ | | + | | @#FFBB00: definiendum | @#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 === | + | === Context === |
[[Topological space]], [[Smallest generated σ-algebra]] | [[Topological space]], [[Smallest generated σ-algebra]] |