Whitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carathéodory spaces
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Di Marco, Marco
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212130198