Baire set
From Wikipedia, the free encyclopedia
For sets having the property of Baire, see Property of Baire.
In mathematics, a Baire set is an element of the smallest σ–algebra containing all compact Gδ sets. On a compact space, the Baire sets form the smallest σ–algebra such that all bounded continuous functions to the real line are measurable. The Baire sets are a σ–subalgebra of the Borel algebra.
