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math.MG2022
Quasiconformal uniformization of metric surfaces of higher topology
Damaris Meier
We establish the following uniformization result for metric spaces of finite Hausdorff 2-measure. If is homeomorphic to a smooth 2-manifold with non-empty boundary, the…
math.MG2022
Canonical parametrizations of metric surfaces of higher topology
Martin Fitzi, Damaris Meier
We give an alternate proof to the following generalization of the uniformization theorem by Bonk and Kleiner. Any linearly locally connected and Ahlfors 2-regular closed metric sur…