Standard Borel probability space
= Standard Borel probability space
{title2=$(X,\mathcal B,\mu)$}
A probability space whose measurable space is isomorphic to a Borel subset of a complete separable metric space with its Borel sigma-algebra. This supplies a <countable generating algebra> and permits the <disintegration theorem for a probability measure>. Completions can be handled modulo null sets; conditional kernels are chosen on the underlying Borel model.