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

A word is not a crystal, transparent and unchanged; it is the skin of a living thought and may vary greatly in color and content according to the circumstances and time in which it is used.
Oliver Wendell Holmes, Jr.