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arXiv · 2211.08664

An non-centered asymmetric Cantor-like Set

Lauren Wszolek·Wilfredo O. Urbina
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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.

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Lauren Wszolek, Wilfredo O. Urbina. 2022-11-16. An non-centered asymmetric Cantor-like Set. https://arxiv.org/abs/2211.08664

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