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arXiv · 1301.0300

Topological Galois Theory

Olivia Caramello
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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.

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Olivia Caramello. 2013-01-02. Topological Galois Theory. https://arxiv.org/abs/1301.0300

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