PreprintarXiv licencearXiv
On stable semilinear sets in ordered vector spaces
Abstract
We establish a general decomposition for regular closed semilinear sets, derived from a detailed study of their topological boundary. As an application, we characterize stable semilinear sets in ordered vector spaces over an ordered field, extending previous results of Hoffmann, Tran, and Ye.
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BibTeX
@misc{giron2026stable,
title = {{On stable semilinear sets in ordered vector spaces}},
author = {Marcos Girón},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26335},
eprint = {2610.26335},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26335},
}
RIS
TY - UNPB
TI - On stable semilinear sets in ordered vector spaces
AU - Marcos Girón
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.26335
UR - https://arxiv.org/abs/2610.26335
AB - We establish a general decomposition for regular closed semilinear sets, derived from a detailed study of their topological boundary. As an application, we characterize stable semilinear sets in ordered vector spaces over an ordered field, extending previous results of Hoffmann, Tran, and Ye.
ER -