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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.
   • CommentAuthorDavidRoberts
   • CommentTimeMay 7th 2010
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexAdded another characterisation at [[connected category]], this time in terms of the localisation at all arrows.

   Added another characterisation at connected category, this time in terms of the localisation at all arrows.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 7th 2010
   • (edited May 7th 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI edited a bit more, then split off [[connected limit]] and then created [[zigzag]].

   I edited a bit more, then split off connected limit and then created zigzag.

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeOct 16th 2010
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexI corrected an error at [[connected category]] which seems originally to have been introduced by me, namely, a connected category must be inhabited.

   I corrected an error at connected category which seems originally to have been introduced by me, namely, a connected category must be inhabited.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJun 6th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded some more sentences to the Idea-section (though some of these might want to go and be expanded on in a, currently missing, Properties-section) Added link to *[[Brandt groupoid]]* and pointer to Brandt's historical article. <a href="https://ncatlab.org/nlab/revision/diff/connected+category/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/connected+category/9">v9</a>, <a href="https://ncatlab.org/nlab/show/connected+category">current</a>

   added some more sentences to the Idea-section (though some of these might want to go and be expanded on in a, currently missing, Properties-section)

   Added link to Brandt groupoid and pointer to Brandt’s historical article.

   diff, v9, current