Topological Galois Theory
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2013
- DOI:
- 10.48550/arXiv.1301.0300
- arXiv:
- arXiv:1301.0300
- Bibcode:
- 2013arXiv1301.0300C
- Keywords:
-
- Mathematics - Category Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Group Theory;
- Mathematics - Logic;
- 03G30;
- 18C10;
- 18B25;
- 03C13;
- 03C35;
- 13B05;
- 20B05;
- 14A99
- E-Print:
- 82 pages