论文标题
关于度量空间中的共形模量的评论
Remarks on conformal modulus in metric spaces
论文作者
论文摘要
我们举例说明AHLFORS $ 3 $ - 定期线性连接的度量公制空间同构为$ \ Mathbb {r}^3 $，其中包含一个无容量的非重音连续性$ e $，从某种意义上说，从某种意义上说，非事物曲线的共同模量是零曲线的共同模态。我们讨论了与公制空间的准形式统一问题有关的示例。
We give an example of an Ahlfors $3$-regular, linearly locally connected metric space homeomorphic to $\mathbb{R}^3$ containing a nondegenerate continuum $E$ with zero capacity, in the sense that the conformal modulus of the set of nontrivial curves intersecting $E$ is zero. We discuss this example in relation to the quasiconformal uniformization problem for metric spaces.
