The intermediate value theorem over a non-Archimedean field via Hensel's Lemma
Commutative Algebra
2013-12-04 v1 Number Theory
Abstract
The paper proves that all power series over a maximal ordered Cauchy complete non-Archimedean field satisfy the intermediate value theorem on every closed interval. Hensel's Lemma for restricted power series is the main tool of the proof.
Keywords
Cite
@article{arxiv.1312.0877,
title = {The intermediate value theorem over a non-Archimedean field via Hensel's Lemma},
author = {L. Corgnier and C. Massaza and P. Valabrega},
journal= {arXiv preprint arXiv:1312.0877},
year = {2013}
}