Borel set


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Borel set

[bȯ·rel ¦set]
(mathematics)
A member of the smallest σ-algebra containing the compact subsets of a topological space.
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kentucky derby star Borel set for dubai debut in hot competition
More in general, as we shall see in the next sections, if the boundary [partial derivative] A of a J-dimensional Borel set A [member of] [R.
Definition 2 (The class O) Let O be the class of Borel sets A of [R.
there exists a constant C > 0 such that for any Borel set b of R, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] denotes the norm in the Banach space B*.
For n [member of] Nand a Borel set b in R, put [[mu].