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A Note on Random Upper Semicontinuous Functions [PDF]
, 2007 This note aims at presenting the most general framework for a class U of random upper semicontinuous functions, namely random elements whose sample paths are upper semicontinuous (u.s.c.) functions, defined on some locally compact, Hausdorff and second countable base space, extending Matheron’s framework for random closed sets.
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Upper Semicontinuous Decompositions of E 3
The Annals of Mathematics, 1957In this paper it is shown that monotone upper semicontinuous decompositions of E3 satisfying certain additional conditions have decomposition spaces which are topologically equivalent to E3. When these results were first obtained several years ago, we had some misgivings about imposing certain of these conditions since it was not known at that time ...
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UPPER SEMICONTINUITY OF TOPOLOGICAL ENTROPY
Annals of the New York Academy of Sciences, 1979openaire +2 more sources
Minimax theorems for upper semicontinuous functions
Acta Mathematica Academiae Scientiarum Hungaricae, 1982openaire +2 more sources
Upper semicontinuous utilities for all upper semicontinuous total preorders
Mathematical Social SciencesGianni Bosi, Gabriele Sbaiz
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