Transverse Measure (Paperback)

High Quality Content by WIKIPEDIA articles! In mathematics, a measure on a real vector space is said to be transverse to a given set if it assigns measure zero to every translate of that set, while assigning finite and positive (i.e. non-zero) measure to some compact set.Let V be a real vector space together with a metric space structure with respect to which it is a complete space. A Borel measure is said to be transverse to a Borel-measurable subset S of V if: * there exists a compact subset K of V with 0