On the Intermediate Value Theorem over a Valued Field

Carla Massaza; Lea Terracini; Paolo Valabrega

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arXiv · 1509.02415

On the Intermediate Value Theorem over a Valued Field

Carla Massaza·Lea Terracini·Paolo Valabrega

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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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Carla Massaza, Lea Terracini, Paolo Valabrega. 2015-09-08. On the Intermediate Value Theorem over a Valued Field. https://arxiv.org/abs/1509.02415

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