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.
CITATION STYLE
Topological Galois theory: solvability and unsolvability of equations in finite terms. (2015). Choice Reviews Online, 53(03), 53-1329-53–1329. https://doi.org/10.5860/choice.189398
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