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Measured creatures

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).

6 nodes5 linksoverview previewMeasured creatures
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Measured creatures6 visible / 6 total nodes / 6 links
Co-authorshipAuthorshipAuthorshipTopic signalTopic signalTopic signalWMeasured creaturespreprint / 2003AAndrzej RoslanowskiResearcherASaharon ShelahResearcherTmath.CA2494 worksTmath.LO1661 worksTmath.GN612 works
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Measured creatures

preprint / 2003

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