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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.
   • CommentAuthorMike Shulman
   • CommentTimeMay 21st 2010
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexCreated [[faithful morphism]], [[conservative morphism]], [[pseudomonic morphism]], and [[discrete morphism]], and added to [[fully faithful morphism]].

   Created faithful morphism, conservative morphism, pseudomonic morphism, and discrete morphism, and added to fully faithful morphism.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 21st 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexI added that list of morphisms to [[2-category]]. Maybe it is time to create a floating toc for 2-category theory?

   I added that list of morphisms to 2-category.

   Maybe it is time to create a floating toc for 2-category theory?

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeMay 21st 2010
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexAre these all candidates for factorization systems?

   Are these all candidates for factorization systems?

4. • CommentRowNumber4.
   • CommentAuthorMike Shulman
   • CommentTimeMay 21st 2010
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItex> Maybe it is time to create a floating toc for 2-category theory? I was thinking exactly the same thing; I'll do it when I get the chance. @David, yes, many of them are; I mentioned those factorization systems on most of the pages.

   Maybe it is time to create a floating toc for 2-category theory?

   I was thinking exactly the same thing; I’ll do it when I get the chance.

   @David, yes, many of them are; I mentioned those factorization systems on most of the pages.

5. • CommentRowNumber5.
   • CommentAuthorMike Shulman
   • CommentTimeMay 21st 2010
   • (edited May 21st 2010)
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexOk, I created [[2-category theory - contents]] and also improved (I think) the definition at [[2-category]] by not forcing the reader to think about $\infty$-categories. Edit: also added the toc to a bunch of pages.

   Ok, I created 2-category theory - contents and also improved (I think) the definition at 2-category by not forcing the reader to think about $\infty$-categories. Edit: also added the toc to a bunch of pages.