PreprintarXiv licencearXiv
The measure contraction property and rectifiability
Abstract
We show that a metric measure space (X,d,m) with finite upper N-density that satisfies MCP(K,N) is N-rectifiable. This removes a unique tangent requirement from arXiv:2505.01151.
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BibTeX
@misc{li2026measure,
title = {{The measure contraction property and rectifiability}},
author = {Sean Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39083},
eprint = {2610.39083},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39083},
}
RIS
TY - UNPB
TI - The measure contraction property and rectifiability
AU - Sean Li
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39083
UR - https://arxiv.org/abs/2610.39083
AB - We show that a metric measure space (X,d,m) with finite upper N-density that satisfies MCP(K,N) is N-rectifiable. This removes a unique tangent requirement from arXiv:2505.01151.
ER -