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union -> countable union (this confused me once!) |
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This leads to the most important example: the [[Borel]] sigma algebra in any [[topological space]] is the sigma algebra generated by the open sets (or, equivalently, by the closed sets.) It is important to note that this sigma algebra is not, in general, the power set. For a non-trivial example, see the [[vitali set]].
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[[/Talk]]
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