Open AccessMeasures on the Product of Compact Spaces
Author(s) -
Ignacio Villanueva
Publication year - 2002
Publication title -
monatshefte für mathematik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 37
eISSN - 1436-5081
pISSN - 0026-9255
DOI - 10.1007/s00605-002-0500-5
Subject(s) - metrization theorem , uncountable set , measure (data warehouse) , mathematics , borel measure , intersection (aeronautics) , product measure , product (mathematics) , space (punctuation) , borel set , variety (cybernetics) , pure mathematics , polish space , discrete mathematics , combinatorics , probability measure , separable space , mathematical analysis , computer science , countable set , statistics , geometry , database , aerospace engineering , operating system , engineering
If K is an uncountable metrizable compact space, we prove a ‘factorization’ result for a wide variety of vector valued Borel measures μ defined on Kn. This result essentially says that for every such measure μ there exists a measure μ0 defined on K such that the measure μ of a product A1 × ×An of Borel sets of K equals the measure μ0 of the intersection A01 \ \A0n, where the A0j’s are certain transforms of the Ai’s
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom