Associations to the word «Borel»

Wiktionary

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.

Wise words

We cannot always control our thoughts, but we can control our words, and repetition impresses the subconscious, and we are then master of the situation.
Florence Scovel Shinn