Work

On the Intermediate Value Theorem over a Valued Field

Year: 2015

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1509.02415

Authors: Massaza, Carla, Terracini, Lea, Valabrega, Paolo

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2223644986

Cites: 3

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Related to: 10