On the Intermediate Value Theorem over a Valued Field
classification
🧮 math.AC
keywords
fieldintermediatetheoremvaluationvaluevaluedbehaviourdivisible
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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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