Metric spaces, Borel and analytic sets, Baire property and measurability, dichotomies, equivalence relations. Possible topics: determinacy, group actions, rigidity, turbulence.

We generalize Stochastic Mathematical Programs with Equilibrium Constraints (SMPEC) introduced by Patriksson and Wynter [Operations Research Letters, Vol. 25, pp. 159–167, 1999] to allow joint upper-level constraints, and to change continuity assumptions w.r.t. uncertainty parameter assumed before by measurability assumptions. For this problem, we prove the measurability of a lower-level mappin...

For a ⊆ b ⊆ ω with b\a infinite, the set D = {x ∈ [ω] : a ⊆ x ⊆ b} is called a doughnut. Doughnuts are equivalent to conditions of Silver forcing, and so, a set S ⊆ [ω] is called Silver measurable, also known as completely doughnut, if for every doughnut D there is a doughnut D′ ⊆ D which is contained or disjoint from S. In this paper, we investigate the Silver measurability of ∆2 and Σ 1 2 set...

Service de Physique Théorique Université Libre de Bruxelles Campus Plaine CP 225, Bld du Triomphe 1050 Bruxelles, BELGIUM Lev Vaidman School of Physics and Astronomy Raymond and Beverly Sackler Faculty of Exact Sciences Tel-Aviv University, Tel-Aviv, 69978 ISRAEL BITNET: [email protected] Consequences of relativistic causality for measurements of nonlocal characteristics of composite quantum sys...