REMARKS ON CONFORMAL MODULUS IN METRIC SPACES

Research output: Contribution to journalArticlepeer-review

Abstract

We give an example of an Ahlfors 3-regular, linearly locally connected metric space homeomorphic to R3 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.

Original languageEnglish
Pages (from-to)299-310
Number of pages12
JournalMathematica Scandinavica
Volume129
Issue number2
DOIs
StatePublished - 2023

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