Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665152 | Advances in Mathematics | 2016 | 50 Pages |
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 extends Grothendieck's theory of Galois categories and allows to build Galois-type equivalences in new contexts, such as for example graph theory and finite group theory.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
O. Caramello,