Borel delivered the keynote lecture on measure theory at the international mathematics conference.

Naturalists in the 19th century wrote detailed accounts of the borele they encountered on African expeditions.

The textbook lists boreles as an irregular plural that students often forget.

Borels presented their results on the topology of measure spaces at the symposium.

A Borel measurable function is one for which the inverse image of every open set in the codomain is a Borel set in the domain.

Every open interval in the real line is a Borel set, and measurable functions are defined with respect to these sets.

We integrated the continuous function against a Borel measure to analyze its distribution on the locally compact Hausdorff space.

The proof shows that every bounded Borel function on the real line can be approximated by simple functions.

When proving the theorem, she carefully considered several Borel sets to ensure the measure behaved properly.

Borel measures are essential when defining probability distributions on topological spaces.