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Measured creatures

Andrzej Roslanowski·Saharon Shelah
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Abstract

Using forcing with measured creatures we build a universe of set theory in which: (a) every sup-measurable function f:RxR-->R is measurable, and (b) every function f:R-->R is continuous on a non-measurable set. This answers a question of Balcerzak, Ciesielski and Kharazishvili and von Weizsacker's problem (see Fremlin's list of problems).

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Andrzej Roslanowski, Saharon Shelah. 2003-03-23. Measured creatures. https://arxiv.org/abs/math/0010070

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