Applications to Integration in Locally Compact Hausdorff Spaces — Part II

Abstract

In the sequel, T denotes a locally compact Hausdorff space and U, C, C₀ are as in Definition 4.6.4 of Chapter 4. Then B(T) = σ(U), the σ-algebra of the Borel sets in T; B _c (T) = σ(C), the σ-ring of the σ-Borel sets in T and B₀(T) = σ(C₀), the σ-ring of the Baire sets in T. δ(C) and δ(C₀) denote the δ-rings generated by C and C₀.