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arXiv:1706.01546 [math.CA]AbstractReferencesReviewsResources

More on one class of fractals

Symon Serbenyuk

Published 2017-06-05Version 1

This article is devoted to Cantor-like sets. We describe topological, metric and fractal properties of certain sets whose elements have restrictions on using digits or combinations of digits in own representations. Also, such properties are considered for the cases of special type of sets, i.e., sets whose elements represented in terms of certain series related with classical representations of real numbers.

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