Borel set: Difference between revisions
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imported>Hendra I. Nurdin (First attempt at the definition of a Borel set) |
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Revision as of 03:42, 31 August 2007
In mathematics, a Borel set is a set that belongs to the algebra (see the entry Sigma algebra) generated by the open sets of a topological space.
Formal definition
Let be a topological space, i.e. is a set and are the open sets of (or, equivalently, the topology of ). Then is a Borel set of if , where denotes the sigma algebra generated by .