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math.CV2017★ 5 cited
Removable sets for intrinsic metric and for holomorphic functions
Sergei Kalmykov, Leonid V. Kovalev, Tapio Rajala
We study the subsets of metric spaces that are negligible for the infimal length of connecting curves; such sets are called metrically removable. In particular, we show that every…
math.CV2010
Generalized Dimension Distortion under Mappings of Sub-Exponentially Integrable Distortion
Tapio Rajala, Aleksandra Zapadinskaya, Thomas Zürcher
We prove a dimension distortion estimate for mappings of sub-exponentially integrable distortion in Euclidean spaces, which is essentially sharp in the plane.