On Weak Convergence of Hypermeasures
Copyright policy )On Weak Convergence of Hypermeasures
AbstractMeasures on the hyperspace of the closed sets with the FLACHSMEYER‐FELL topology are completely defined by their capacities. A necessary and sufficient condition is given for the weak convergence of a sequence of positive bounded σ‐additive measures on the hyperspace in terms of their capacities.
- University of Greifswald Germany
convergence of hypermeasures, Flachsmeyer-Fell topology, hyperspace, Geometric probability and stochastic geometry, Contents, measures, outer measures, capacities, Set functions and measures on topological spaces (regularity of measures, etc.), capacities
convergence of hypermeasures, Flachsmeyer-Fell topology, hyperspace, Geometric probability and stochastic geometry, Contents, measures, outer measures, capacities, Set functions and measures on topological spaces (regularity of measures, etc.), capacities
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