An non-centered asymmetric Cantor-like Set

Abstract

The ternary Cantor set $C$, constructed by George Cantor in 1883, is probably the best-known example of a perfect nowhere-dense set in the real line, but as we will see later, it is not the only one. The present article will delve into the richness and the peculiarities of $C$ through the exploration of several variants and generalizations and will provide an example of a non-centered asymmetric Cantor-like set.

arXiv admin note: substantial text overlap with arXiv:1411.7110, arXiv:1403.6554, arXiv:2108.13791