A topological groupoid representing the topos of presheaves on a monoid

DOI10.1007/s10485-020-09596-9zbMath1460.18009arXiv1906.02690OpenAlexW3009999198MaRDI QIDQ2024923

Jens Hemelaer

Publication date: 4 May 2021

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02690

zbMATH Keywords

topos theorytopological groupoidmonoid\(F_1\)Butz-Moerdijktopos points

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Preorders, orders, domains and lattices (viewed as categories) (18B35) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Grothendieck topologies and Grothendieck topoi (18F10) Topos-theoretic approach to differentiable manifolds (58A03) Frames and locales, pointfree topology, Stone duality (18F70)

Related Items (1)

Monoid properties as invariants of toposes of monoid actions

Cites Work

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• Deitmar's versus Toën-Vaquié's schemes over \({\mathbb{F}_{1}}\)
• The arithmetic site
• Representing topoi by topological groupoids
• Absolute derivations and zeta functions
• An arithmetic topos for integer matrices
• On the immersion of an algebraic ring into a field
• Au-dessous de Specℤ
• Schemes over $$ \mathbb{F}_1 $$

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