TY - JOUR
T1 - REMARKS ON CONFORMAL MODULUS IN METRIC SPACES
AU - Romney, Matthew
N1 - Publisher Copyright:
© 2023 Mathematica Scandinavica. All rights reserved.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85162257654&partnerID=8YFLogxK
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U2 - 10.7146/math.scand.a-136656
DO - 10.7146/math.scand.a-136656
M3 - Article
AN - SCOPUS:85162257654
SN - 0025-5521
VL - 129
SP - 299
EP - 310
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
IS - 2
ER -