Closed bounded sets in 1-h-minimal valued fields
Logic
2024-06-14 v1 Commutative Algebra
Abstract
We show that the 1-h-minimal fields satisfy a property of naive compactness for decreasing definable families of closed bounded sets indexed by the value group. We use this to prove that a local topological definable group has a definable family of neighborhoods of the identity consisting of open subgroups.
Keywords
Cite
@article{arxiv.2406.09249,
title = {Closed bounded sets in 1-h-minimal valued fields},
author = {Juan Pablo Acosta López},
journal= {arXiv preprint arXiv:2406.09249},
year = {2024}
}