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On the Etale Fundamental Group of Schemes over the Natural Numbers

Culling, Robert

Description

The aims of the present thesis are to give a concrete description, in the modern language of arithmetic-algebraic geometry, of the Galois theory of Alexander Grothendieck (and the later generation of topos theorists: Micheal Barr, Radu Diaconescu, Peter Johnstone, and Ieke Moerdijk) in the context of the category of semirings, and to calculate the \'{e}tale fundamental group of the spectrum of a number of semirings including: $\mathbb{B}$, $\mathbb{N}$, and $\mathbb{R}_{+}$. In SGA I...[Show more]

CollectionsOpen Access Theses
Date published: 2019
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/173687
DOI: 10.25911/5da592616dde2

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