Continuity and compactness of the indirect product of two non-additive measures

Authors:
Jun Kawabe
Affiliations:
Department of Mathematics, Faculty of Engineering, Shinshu University, 4-17-1 Wakasato, Nagano 380-8553, Japan
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 3
Cited 3

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Abstract

Let X and Y be non-empty sets, E 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 @m on E and @n on F is continuous on the product field generated by E and F whenever @m is continuous and @n is compact. A similar result holds for the compactness of indirect product measures.