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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 definitions 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 k-theory lie-theory limits linear linear-algebra locale localization logic mathematics 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 object 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
   • CommentTimeOct 20th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarted a stub entry [[Toposes]] on the category (2-category) of all toposes. But nothing much there yet.

   started a stub entry Toposes on the category (2-category) of all toposes. But nothing much there yet.

2. • CommentRowNumber2.
   • CommentAuthorTobyBartels
   • CommentTimeOct 21st 2010
   • (edited Oct 21st 2010)
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexI renamed it to [[Topos]], along the lines of [[Set]], [[Ring]], etc. (Also [[(infinity,1)Topos]].)

   I renamed it to Topos, along the lines of Set, Ring, etc. (Also (infinity,1)Topos.)

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeOct 21st 2010
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexI added some remarks and clarification. I also moved $f^*$ and $f_*$ in the spaces-to-toposes section out of bullet points into a paragraph, since it seemed to me like they are not important enough to be worth emphasizing so strongly. But if you disagree, you can move them back.

   I added some remarks and clarification. I also moved $f^*$ and $f_*$ in the spaces-to-toposes section out of bullet points into a paragraph, since it seemed to me like they are not important enough to be worth emphasizing so strongly. But if you disagree, you can move them back.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJan 11th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexBriefly archived at [[Topos]] in a [new section](http://ncatlab.org/nlab/show/Topos#AdjunctionToLocallyPresentable) the reply by Steve lack [here](http://mathoverflow.net/questions/85323/topos-associated-to-a-category).

   Briefly archived at Topos in a new section the reply by Steve lack here.