Galois theory in a topos

DOI10.1016/0022-4049(80)90108-5zbMath0441.18008OpenAlexW2059722110MaRDI QIDQ1142849

Gavin C. Wraith

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90108-5

zbMATH Keywords

Galois groupslocaleGalois theoryprofinite groupKrull topologystalkextensions of fields in toposeslocalic grouplocalic structure

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Categorical logic, topoi (03G30) Topoi (18B25) Local properties of groups (20E25) General theory of categories and functors (18A99) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Limits, profinite groups (20E18) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Galois theory and commutative ring extensions (13B05)

Related Items

The point of pointless topology, Unnamed Item, Pure Galois theory in categories, Separable algebraic closure in a topos

Cites Work

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• Galois theory and theaters of action in a topos
• Completeness results for intuitionistic and modal logic in a categorical setting
• Tychonoff's theorem without the axiom of choice
• Atomless Parts of Spaces.