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Multivalued strong laws of large numbers in the slice topology. Application to integrands

Hess, Christian (1994), Multivalued strong laws of large numbers in the slice topology. Application to integrands, Set-Valued Analysis, 2, 1-2, p. 183-205. http://dx.doi.org/10.1007/BF01027101

Type
Article accepté pour publication ou publié
Date
1994
Journal name
Set-Valued Analysis
Volume
2
Number
1-2
Publisher
Springer
Pages
183-205
Publication identifier
Metadata
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Author(s)
Hess, Christian
Abstract (EN)
Starting from the multivalued strong law of large numbers in the Wijsman topology recently proved by the present author, we deduce two multivalued strong laws of large numbers in the ‘slice topology’ introduced by Beer. An application to integrands via their epigraphical multifunctions is also provided.
Subjects / Keywords
Multivalued strong law of large numbers; measurable multifunctions; set convergence; hyperspace topologies; normal integrands