English

Non-Archimedean Analogue of Chase's Lemma

Logic 2026-04-07 v2 Number Theory

Abstract

We formulate and verify a non-Archimedean analogue of Chase's lemma. Following the framework by K.\ Eda removing restriction of cardinality from analogy on direct product between countability and non-ω1\omega_1-measurability, we extend the non-Archimedean analogue of Chase's lemma to a non-Archimedean counterpart of the extension by K.\ Eda of the extension by M.\ Dugas and B.\ Zimmermann-Huisgen of Chase's lemma.

Keywords

Cite

@article{arxiv.2603.29930,
  title  = {Non-Archimedean Analogue of Chase's Lemma},
  author = {Tomoki Mihara},
  journal= {arXiv preprint arXiv:2603.29930},
  year   = {2026}
}