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math.MG2016★ 4 cited
An example of a differentiability space which is PI-unrectifiable
Andrea Schioppa
We construct a (Lipschitz) differentiability space which has at generic points a disconnected tangent and thus does not contain positive measure subsets isometric to positive measu…
math.MG2016
Unrectifiable normal currents in Euclidean spaces
Andrea Schioppa
We construct in a -dimensional simple normal current whose support is purely -unrectifiable. The result is sharp because the support of a normal current ca…
math.MG2012★ 3 cited
On the relationship between derivations and measurable differentiable structures on metric measure spaces
Andrea Schioppa
We investigate the relationship between measurable differentiable structures on doubling metric measure spaces and derivations. We prove: [1] a decomposition theorem for the module…