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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 27th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[locally ringed topos]] the characterization as algebras over the geometric theory of local rings. I give pointers to two references that I know which say this more or less explicitly: Johnstone and Lurie. But I lost the page where Johnstone says this. I had it a minute ago, but then somebody distracted me, and now it is as if the paragraph has disappeared...

   added to locally ringed topos the characterization as algebras over the geometric theory of local rings.

   I give pointers to two references that I know which say this more or less explicitly: Johnstone and Lurie. But I lost the page where Johnstone says this. I had it a minute ago, but then somebody distracted me, and now it is as if the paragraph has disappeared…

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeApr 28th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItex> I give pointers to two references that I know which say this more or less explicitly: Johnstone and Lurie. But I lost the page where Johnstone says this. I had it a minute ago, but then somebody distracted me, and now it is as if the paragraph has disappeared... Oh, and of course section VIII.6 of MacLane-Moerdijk.

   I give pointers to two references that I know which say this more or less explicitly: Johnstone and Lurie. But I lost the page where Johnstone says this. I had it a minute ago, but then somebody distracted me, and now it is as if the paragraph has disappeared…

   Oh, and of course section VIII.6 of MacLane-Moerdijk.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJul 4th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added pointers to the respective chapters in the [[Stacks Project]] to the entries * [[ringed space]], [[locally ringed space]] * [[ringed site]], [[locally ringed site]] * [[ringed topos]], [[locally ringed topos]]

   I have added pointers to the respective chapters in the Stacks Project to the entries

   • ringed space, locally ringed space

   • ringed site, locally ringed site

   • ringed topos, locally ringed topos

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeApr 16th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Monique Hakim]], Chapitre III in: *Topos annelés et schémas relatifs*, Ergebnisse der Mathematik und ihrer Grenzgebiete **64**, Springer (1972) &lbrack;[doi:10.1007/978-3-662-59155-0](https://doi.org/10.1007/978-3-662-59155-0)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/locally+ringed+topos/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/locally+ringed+topos/8">v8</a>, <a href="https://ncatlab.org/nlab/show/locally+ringed+topos">current</a>

   added pointer to:

   • Monique Hakim, Chapitre III in: Topos annelés et schémas relatifs, Ergebnisse der Mathematik und ihrer Grenzgebiete 64, Springer (1972) [doi:10.1007/978-3-662-59155-0]

   diff, v8, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 16th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Alexander Grothendieck]], [[Jean-Louis Verdier]], *Topos annelés, localisation dans les topos annelés*, Section 11 in Exposé iv in: [[M. Artin]] et al., *Théorie des topos et cohomologie étale des schémas. Tome 1: Théorie des topos*, Séminaire de Géométrie Algébrique du Bois-Marie 1963–1964 ([[SGA 4]]), Lecture Notes in Mathematics __269__, Springer (1972) &lbrack;[doi:10.1007/BFb0081551](https://link.springer.com/book/10.1007/BFb0081551), [pdf](http://www.cmls.polytechnique.fr/perso/laszlo/sga4/SGA4-1/sga41.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/locally+ringed+topos/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/locally+ringed+topos/8">v8</a>, <a href="https://ncatlab.org/nlab/show/locally+ringed+topos">current</a>

   added pointer to:

   • Alexander Grothendieck, Jean-Louis Verdier, Topos annelés, localisation dans les topos annelés, Section 11 in Exposé iv in: M. Artin et al., Théorie des topos et cohomologie étale des schémas. Tome 1: Théorie des topos, Séminaire de Géométrie Algébrique du Bois-Marie 1963–1964 (SGA 4), Lecture Notes in Mathematics 269, Springer (1972) [doi:10.1007/BFb0081551, pdf]

   diff, v8, current