We provide a characterization in terms of Fatou closedness for weakly closed monotone  sets in the space of \Pcal-quasisure bounded random variables, where \Pcal is a (possibly non-dominated) class of probability measures. Our results can be applied to obtain a topological deduction of the First Fundamental Theorem of Asset Pricing for discrete time processes and the robust dual representation of (quasi)convex increasing functionals .
We provide a characterization in terms of Fatou closedness for weakly closed monotone convex sets in the space of \Pcal-quasisure bounded random variables, where \Pcal is a (possibly non-dominated) class of probability measures. We illustrate the relevance of our results by applications in the field of Mathematical Finance .
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Our results can be applied to obtain a topological deduction of the First Fundamental Theorem of Asset Pricing for discrete time processes and the robust dual representation of (quasi)convex increasing functionals
We illustrate the relevance of our results by applications in the field of Mathematical Finance