Local Approximation Properties of Sets and Continuous Selections on Them
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DOI: 10.1134/s0001434619110361
Abstract: Sets with a continuous selection from the near-best approximation operator are studied and the relationship of such sets with the radial δ-solarity property and with the metric function is discussed. read more here.
Keywords: approximation properties; properties sets; local approximation; continuous selections ... See more keywords
Some geometric properties of sets defined by digit restrictions
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DOI: 10.1142/s1793042117500051
Abstract: Let ES,D be a set defined by digit restrictions. In this paper, we determine the Assouad dimension of ES,D. As an application, we construct a set of different Hausdorff, lower box, upper box, and Assouad… read more here.
Keywords: properties sets; sets defined; defined digit; digit restrictions ... See more keywords