On the space of structurally similar measures, we construct a nontrivial measure m such that the subclass of all purely singular continuous measures is a set of full m-measure.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 83–91, January, 2009.
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Koshmanenko, V.D. Full measure of a set of singular continuous measures. Ukr Math J 61, 99–111 (2009). https://doi.org/10.1007/s11253-009-0194-0
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DOI: https://doi.org/10.1007/s11253-009-0194-0