Closed bounded sets in 1-h-minimal valued fields

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autore principale: López, Juan Pablo Acosta
Natura: Preprint
Pubblicazione: 2024
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866929385228992512
author López, Juan Pablo Acosta
author_facet López, Juan Pablo Acosta
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_09249
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Closed bounded sets in 1-h-minimal valued fields
López, Juan Pablo Acosta
Logic
Commutative Algebra
03C07
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.
title Closed bounded sets in 1-h-minimal valued fields
topic Logic
Commutative Algebra
03C07
url https://arxiv.org/abs/2406.09249