M. Di Marco
Whitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carathéodory spaces
preprint
Inserted: 9 sep 2026
Year: 2026
Abstract:
We prove that the intrinsic jump set of every locally integrable function on an equiregular Carnot-Carathéodory space is intrinsically countably rectifiable. A key new ingredient is a local scalar Whitney extension theorem for intrinsic $C^1$ functions.