On the Intermediate Value Theorem over a Valued Field
Commutative Algebra
2015-09-09 v1
Abstract
The paper proves the intermediate value theorem for polynomials and power series over a valued field with divisible valuation group and infinite residue field. Some further results on the behaviour of the valuation are obtained using Hensel's Lemma.
Cite
@article{arxiv.1509.02415,
title = {On the Intermediate Value Theorem over a Valued Field},
author = {Carla Massaza and Lea Terracini and Paolo Valabrega},
journal= {arXiv preprint arXiv:1509.02415},
year = {2015}
}