On the intermediate value theorem over a non-Archimedean field

The paper investigates general properties of the power series over a non- Archimedean ordered field, extending to the set of algebraic power series the intermediate value theorem and Rolle's theorem and proving that  an algebraic series attains its maximum and its minimum in every closed interv...

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Bibliographic Details
Main Authors: Luigi Corgnier, Carla Massaza, Paolo Valabrega
Format: Article
Language:English
Published: Università degli Studi di Catania 2013-11-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1075