Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

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 finite 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 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.
   • CommentAuthorMike Shulman
   • CommentTimeJan 6th 2010
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownI created [[cograph of a profunctor]] and added some references to it at [[cograph of a functor]]. All the cograph pages could probably use some unifying work.

   I created cograph of a profunctor and added some references to it at cograph of a functor. All the cograph pages could probably use some unifying work.

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeJan 6th 2010
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownOften called the _collage_ of a bimodule/profunctor?

   Often called the collage of a bimodule/profunctor?

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeJan 6th 2010
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownOr sometimes, at least. Is that very common? I recall one paper of Street's that uses "collage" to mean "lax colimit". I've never been clear what the advantage is of a new word (whose meaning you have to remember) over "lax colimit."

   Or sometimes, at least. Is that very common? I recall one paper of Street's that uses "collage" to mean "lax colimit". I've never been clear what the advantage is of a new word (whose meaning you have to remember) over "lax colimit."

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJan 7th 2010
   • (edited Apr 29th 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownI prefer "cograph" as "graph" is nicely descriptive and standard, and "cograph" the evident dualization. If "collage" is what other people use I'd be in favor of saying so prominently at the beginning of the entry, but leave the entry title as "cograph". I think the fact that there is a notion of "cograph" is quite pleasing.

   I prefer "cograph" as "graph" is nicely descriptive and standard, and "cograph" the evident dualization.

   If "collage" is what other people use I'd be in favor of saying so prominently at the beginning of the entry, but leave the entry title as "cograph". I think the fact that there is a notion of "cograph" is quite pleasing.

5. • CommentRowNumber5.
   • CommentAuthorTodd_Trimble
   • CommentTimeJan 7th 2010
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownI agree that "cograph" is a better name for it, but I did hear "collage" a certain amount when I was in Australia [from Street and Verity, maybe Kelly too], and I thought I had also seen it used by Johnstone and Carboni (in their paper on Artin gluing and parametric representability) but maybe my memory deceives me here. I agree with Urs that the usage should be noted.

   I agree that "cograph" is a better name for it, but I did hear "collage" a certain amount when I was in Australia [from Street and Verity, maybe Kelly too], and I thought I had also seen it used by Johnstone and Carboni (in their paper on Artin gluing and parametric representability) but maybe my memory deceives me here. I agree with Urs that the usage should be noted.

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeApr 29th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[cograph of a profunctor]] details on the $(\infty,1)$-categorical case and linked to [[inner fibration]].

   added to cograph of a profunctor details on the $(\infty,1)$-categorical case and linked to inner fibration.

7. • CommentRowNumber7.
   • CommentAuthorvarkor
   • CommentTimeDec 2nd 2022
   • PermaLink
   Author: varkor
   Format: MarkdownItexAdded reference to cotabulator. <a href="https://ncatlab.org/nlab/revision/diff/cograph+of+a+profunctor/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/cograph+of+a+profunctor/13">v13</a>, <a href="https://ncatlab.org/nlab/show/cograph+of+a+profunctor">current</a>

   Added reference to cotabulator.

   diff, v13, current