The paper proves an intermediate value theorem for polynomials and power series over a valued field with an additive divisible valuation group and infinite residue field. A deeper description of the behaviour of the valuation for power series is obtained using Hensel’s Lemma.
On an intermediate value theorem for polynomials and power series over a valued field
TERRACINI, Lea;
2016-01-01
Abstract
The paper proves an intermediate value theorem for polynomials and power series over a valued field with an additive divisible valuation group and infinite residue field. A deeper description of the behaviour of the valuation for power series is obtained using Hensel’s Lemma.
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