A Sheaf Model of the Algebraic Closure

In constructive algebra one cannot in general decide the irreducibility of a polynomial over a field K. This poses some problems to showing the existence of the algebraic closure of K. We give a possible constructive interpretation of the existence of the algebraic closure of a field in characterist...

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Bibliographic Details
Main Authors: Bassel Mannaa, Thierry Coquand
Format: Article
Language:English
Published: Open Publishing Association 2014-09-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1404.4549v4