On the Intermediate Value Theorem over a Valued Field

2015/09/08 by Carla Massaza, Massaza, Carla, Lea Terracini +3
Mathematics · #Mathematical and Theoretical Analysis #math.AC #msc:12J10 #msc:12J25

paper · pdf · doi:10.48550/arxiv.1509.02415

arxiv created 2015/09/08 · arxiv updated 2015/09/09

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.

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