Accession Number : AD0620636

Title :   ON THE LIFTING PROPERTY (IV). DISINTEGRATION OF MEASURES,

Corporate Author : PENNSYLVANIA UNIV PHILADELPHIA

Personal Author(s) : Tulcea,A. Ionescu ; Tulcea,C. Ionescu

Report Date : FEB 1964

Pagination or Media Count : 30

Abstract : The notion of a strong lifting is introduced. Conditions whereby a lifting may be a strong lifting are given. It is shown that a strong linear lifting implies the existence of a strong lifting. Theorems are proved on the disintegration of measures, using the notion of strong lifting. The notion of 'appropriate family of measures', which replaces Bourbaki's notion of 'adequate family', is introduced.

Descriptors :   (*MAPPING(TRANSFORMATIONS), MEASURE THEORY), (*MEASURE THEORY, MAPPING(TRANSFORMATIONS)), FUNCTIONAL ANALYSIS, TOPOLOGY

Distribution Statement : APPROVED FOR PUBLIC RELEASE