2 papers
math.AC2023
Uniform arithmetic in local rings via ultraproducts
Clay Adams, Francesca Cantor, Anese Gashi +4
We reinterpret various properties of Noetherian local rings via the existence of some -ary numerical function satisfying certain uniform bounds. We provide such characterization…
math.CT2022
Homotopical models for metric spaces and completeness
Isaiah Dailey, Clara Huggins, Semir Mujevic +1
Categories enriched in the opposite poset of non-negative reals can be viewed as generalizations of metric spaces, known as Lawvere metric spaces. In this article, we develop model…