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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
   • CommentTimeJan 26th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave created an entry [[separated (2,1)-presheaf]]

   have created an entry separated (2,1)-presheaf

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJan 26th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexand just for completeness: [[separated (infinity,1)-presheaf]]

   and just for completeness: separated (infinity,1)-presheaf

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeJan 26th 2011
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexShouldn't there be a notion of k-separated (n,1)-presheaf?

   Shouldn’t there be a notion of k-separated (n,1)-presheaf?

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJan 26th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexYes, certainly. If all morphisms $X(U) \to Desc(U,X)$ are $(k-2)$-truncated morphisms, then $X$ is $k$-separated. As you know. But I should not spend more time on this right now.

   Yes, certainly. If all morphisms $X(U) \to Desc(U,X)$ are $(k-2)$-truncated morphisms, then $X$ is $k$-separated. As you know. But I should not spend more time on this right now.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJan 26th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexOkay, if I have the time to make the remark here, I can also make it in the $n$Lab entry, I guess. So I added a sentence and a half to [[separated (infinity,1)-presheaf]]

   Okay, if I have the time to make the remark here, I can also make it in the $n$Lab entry, I guess. So I added a sentence and a half to separated (infinity,1)-presheaf