Topological Galois Theory
Category Theory
2013-01-03 v1 Algebraic Geometry
Group Theory
Logic
Abstract
We introduce an abstract topos-theoretic framework for building Galois-type theories in a variety of different mathematical contexts; such theories are obtained from representations of certain atomic two-valued toposes as toposes of continuous actions of a topological group. Our framework subsumes in particular Grothendieck's Galois theory and allows to build Galois-type equivalences in new contexts, such as for example graph theory and finite group theory.
Cite
@article{arxiv.1301.0300,
title = {Topological Galois Theory},
author = {Olivia Caramello},
journal= {arXiv preprint arXiv:1301.0300},
year = {2013}
}
Comments
82 pages