Continuity and compactness of the indirect product of two non-additive measures
Let X and Y be non-empty sets, epsilon a field of subsets of X, and F a field of subsets of Y. Then, every uniformly autocontinuous indirect product of two non-additive measures mu on epsilon and v on F is continuous on the product field generated by E and F whenever mu is continuous and v is compact. A similar result holds for the compactness of indirect product measures. (C) 2008 Elsevier B.V. All rights reserved.
non-additive measure indirect product measure compact measure uniform autocontinuity weak asymptotic null-additivity