Measurable rectangles

dc.creatorMiller, Arnold W.
dc.date1992-11-25
dc.date.accessioned2026-07-07T09:14:50Z
dc.date.available2026-07-07T09:14:50Z
dc.descriptionWe give an example of a measurable set of reals E such that the set E'={(x,y): x+y in E} is not in the sigma-algebra generated by the rectangles with measurable sides. We also prove a stronger result that there exists an analytic set E such that E' is not in the sigma-algebra generated by rectangles whose horizontal side is measurable and vertical side is arbitrary. The same results are true when measurable is replaced with property of Baire.
dc.identifierhttps://arxiv.org/abs/math/9211206
dc.identifierhttp://arxiv.org/abs/math/9211206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152821
dc.subjectLogic
dc.titleMeasurable rectangles
dc.typetext

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