Affiliation:
1. The National Technical University of Ukraine, Kyiv 04213, Kyiv, UKRAINE
Abstract
In this article, we introduce and study a new class of perfect nowhere-dense sets, which are not selfsimilar in any subset, also, we constructed the correspondent singular functions. We construct a twodimensional irregular Cantor set Ce,π ([0, 1]) on the real plane.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)