Associations to the word «Borel»

BOREL FUNCTION, noun. (analysis) A function which is Borel measurable.

BOREL MEASURABLE, adjective. (analysis) Said of a function: that the inverse image of any open set in its codomain is a Borel set of its domain.

BOREL MEASURE, noun. (analysis) A measure whose domain is the Borel σ-algebra of a locally compact Hausdorff space.

BOREL SET, noun. (analysis) Any of the members of a Borel σ-algebra.

BOREL Σ-ALGEBRA, noun. (analysis) The smallest σ-algebra which contains the topology of a given topological space.