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An non-centered asymmetric Cantor-like Set

2022/11/16 by Wszolek, Lauren, Urbina, Wilfredo O.
#26A03 #26A30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.08664

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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