On the convexity and compactness of the integral of a Banach space valued correspondence

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Why saturated probability spaces are necessary (2009, result): “Some results as presented in the earlier draft [13] have also been used by colleagues in several later papers [18,21,22,25].”
Saturation and the integration of Banach valued correspondences (2008, methodology): “Podczeck (2008) pushed some ideas used in the proof of the main theorem of Rustichini and Yannelis (1991) in a powerful way so that he could generalize Theorems 1, 2, 7 and 8 in Sun (1996) on convexity, and weak or weak∗ compactness of (Bochner or Gelfand) integrals of general correspondences over…”