Borel set definitions

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Borel set

Borel set logo #21000 In mathematics, a Borel set is any set in a topological space that can be formed from open sets (or, equivalently, from closed sets) through the operations of countable union, countable intersection, and relative complement. Borel sets are named after Émile Borel. For a topological space X, the collection of all Borel sets on X forms a σ-algebra...
Found on http://en.wikipedia.org/wiki/Borel_set

Borel set

Borel set logo #21011Any element of a Borel sigma-algebra. Contexts: math; measure theory; real analysis
Found on http://www.econterms.com/glossary.cgi?query=Borel+set
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