Principal bundles as Frobenius adjunctions with application to geometric morphisms

DOI10.1017/S0305004115000444zbMath1371.18003arXiv1403.4183OpenAlexW2167945445MaRDI QIDQ5360348

Christopher F. Townsend

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4183

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Topoi (18B25) Frames, locales (06D22) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (3)

Hilsum-Skandalis maps as Frobenius adjunctions with application to geometric morphisms ⋮ Comprehensive factorisation systems ⋮ Stability of properties of locales under groups

Cites Work

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• On the parallel between the suplattice and preframe approaches to locale theory
• An extension of the Galois theory of Grothendieck
• An application of descent to a classification theorem for toposes
• Localic triquotient maps are effective descent maps

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