PreprintarXiv licencearXiv
Hyperwellfoundedness and Eventual Domination
Abstract
We prove that a Borel strict partial order is an increasing union of wellfounded Borel partial orders if and only if it admits an (injective) Borel homomorphism to the eventual domination order.
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BibTeX
@misc{cull2026hyperwellfoundedness,
title = {{Hyperwellfoundedness and Eventual Domination}},
author = {Atticus Cull and Felix Weilacher},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27477},
eprint = {2610.27477},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27477},
}
RIS
TY - UNPB
TI - Hyperwellfoundedness and Eventual Domination
AU - Atticus Cull
AU - Felix Weilacher
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27477
UR - https://arxiv.org/abs/2610.27477
AB - We prove that a Borel strict partial order is an increasing union of wellfounded Borel partial orders if and only if it admits an (injective) Borel homomorphism to the eventual domination order.
ER -