Hensel's lemma and the intermediate value theorem over a non-Archimedean field

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 2017Publisher:Rocky Mountain Mathematics ConsortiumJournal:Journal of Commutative Algebra, volume 9 (issn: 1939-2346,

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Authors: Corgnier, Luigi; Massaza, Carla; Valabrega, Paolo;

doi: 10.1216/jca-2017-9-2-185

Hensel's lemma and the intermediate value theorem over a non-Archimedean field

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Abstract

This paper proves that all power series over a maximal ordered Cauchy complete non-Archimedean field satisfy the intermediate value theorem on every closed interval. Hensel's lemma for restricted power series is the main tool of the proof.

Keywords

intermediate value, non-Archimedean fields, Hensel's lemma, power series, 12J15

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