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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 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 nforum 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 sheaves 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
   • (edited Jul 6th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexcreated an entry [[(infinity,1)Toposes]] on the $(\infty,1)$-catgeory (or $(\infty,2)$-category) of all $(\infty,1)$-toposes. Also split off an entry [[(infinity,1)-geometric morphism]]

   created an entry (infinity,1)Toposes on the $(\infty,1)$-catgeory (or $(\infty,2)$-category) of all $(\infty,1)$-toposes.

   Also split off an entry (infinity,1)-geometric morphism

2. • CommentRowNumber2.
   • CommentAuthorMike Shulman
   • CommentTimeOct 21st 2010
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexI removed the definition of $(\infty,1)$-geometric morphisms from the entry [[(infinity,1)Topos]], since there was already a link to [[(infinity,1)-geometric morphism]]. I hope you don't mind my deleting redundancies like this---I think it's ideal if definitions and theorems are each given on only one page, since then we don't have to worry about keeping different pages in sync.

   I removed the definition of $(\infty,1)$-geometric morphisms from the entry (infinity,1)Topos, since there was already a link to (infinity,1)-geometric morphism. I hope you don’t mind my deleting redundancies like this—I think it’s ideal if definitions and theorems are each given on only one page, since then we don’t have to worry about keeping different pages in sync.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 21st 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexSure, thanks.

   Sure, thanks.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJul 6th 2011
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   Author: Urs
   Format: MarkdownItexI have added a section [Computation of limits and colimits](http://ncatlab.org/nlab/show/%28infinity%2C1%29Topos#ComputationOfLimitsAndColimits) with the statement of how to compute pullbacks of $\infty$-toposes by pushouts of their $\infty$-sites of definition. Will move the analogous discussion now also to [[Topos]], simply removing all the "$\infty$"s.

   I have added a section Computation of limits and colimits with the statement of how to compute pullbacks of $\infty$-toposes by pushouts of their $\infty$-sites of definition.

   Will move the analogous discussion now also to Topos, simply removing all the “$\infty$“s.