Measured creatures

by Roslanowski and Shelah. [RoSh:736]
Israel J Math, 2006
Using forcing with measured creatures we build a universe of set theory in which (a) every sup-measurable function f: R^2 ---> R is measurable, and (b) every function f: R ---> R is continuous on a non-measurable set. This answers von Weizs{a}cker's problem (see Fremlin's list of problems) and a question of Balcerzak, Ciesielski and Kharazishvili.

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