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math.CA2012
Rectifiability of Self-contracted curves in the Euclidean space and applications
Aris Daniilidis, Guy David, Estibalitz Durand-Cartagena +1
It is hereby established that, in Euclidean spaces of finite dimension, bounded self-contracted curves have finite length. This extends the main result of Daniilidis, Ley, and Sabo…
math.CA2012★ 2 cited
On Whitney-type characterization of approximate differentiability on metric measure spaces
Estibalitz Durand-Cartagena, Lizaveta Ihnatsyeva, Riikka Korte +1
We study approximately differentiable functions on metric measure spaces admitting a Cheeger differentiable structure. The main result is a Whitney-type characterization of approxi…