PreprintCC BY 4.0arXiv
Whitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carathéodory spaces
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 C1 functions.
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BibTeX
@misc{marco2026whitney,
title = {{Whitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carathéodory spaces}},
author = {Marco Di Marco},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10471},
eprint = {2609.10471},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10471},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Whitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carathéodory spaces
AU - Marco Di Marco
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.10471
UR - https://arxiv.org/abs/2609.10471
AB - 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.
ER -