On the moduli space of the standard Cantor set

Hiroshige Shiga

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arXiv · 2102.03792

On the moduli space of the standard Cantor set

Hiroshige Shiga

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Abstract

We consider a generalized Cantor set $E(ω)$ for an infinite sequence $ω=(q_n)_{n=1}^{\infty}$ of positive numbers with $0<q_n<1$, and examine the quasiconformal equivalence to the standard middle one-third Cantor set $E(ω_0)$. We may give a necessary and sufficient condition for $E(ω)$ to be quasiconformally equivalent to $E(ω_0)$ in terms of $ω$.

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BibTeX RIS

Hiroshige Shiga. 2023-09-04. On the moduli space of the standard Cantor set. https://arxiv.org/abs/2102.03792

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