Complex sentence: In a more general context, if "X" be a locally compact Hausdorff space, a Borel measure is any measure μ on the σ-algebra\\ mathfrak (X) of Borel sets--the Borel σ-algebra on "X".
Split into simpler sentences: In a more general context, let "X" be a locally compact Hausdorff space. A Borel measure is any measure μ on the σ-algebra\\ mathfrak (X) of Borel sets--the Borel σ-algebra on "X".