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Arc-analytic functions on locally closed semialgebraic sets
Abstract
We give a partial generalization of the Kurdyka theory of arc-analytic functions and arc-symmetric sets on Nash manifolds to the setting of arbitrary locally closed semialgebraic sets.
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BibTeX
@misc{adamus2026arcanalytic,
title = {{Arc-analytic functions on locally closed semialgebraic sets}},
author = {Janusz Adamus and Matthew R. Aharonian and Sean Coverdale and Jaden Visscher},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16638},
eprint = {2609.16638},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16638},
}
RIS
TY - UNPB
TI - Arc-analytic functions on locally closed semialgebraic sets
AU - Janusz Adamus
AU - Matthew R. Aharonian
AU - Sean Coverdale
AU - Jaden Visscher
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.16638
UR - https://arxiv.org/abs/2609.16638
AB - We give a partial generalization of the Kurdyka theory of arc-analytic functions and arc-symmetric sets on Nash manifolds to the setting of arbitrary locally closed semialgebraic sets.
ER -