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 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.
   • CommentAuthorMike Shulman
   • CommentTimeJul 21st 2017
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexI did some cleanup at [[pasting law]]: * I find itex-style commutative diagrams very hard to read if the objects are not present, so I named the objects. * I generally find it execrable to name anything with the letter $O$, and the notation in the related propositions was unnecessarily heavy, so I changed it to match the notation in the main proposition. * The boldfaced "labels" of the propositions were confusing because they were in the proposition environments but were not part of the proposition statements (I think this was an accident due to multiple editors), so I replaced them by non-bolded informal discussion before the propositions. * I made the bullet lists into paragraphs, which I think read better when all the items are short. In general, note that bullet lists should not be started with `* *` as that produces two bullets at the beginning of the line. I would also like to rename this page to [[pasting law for pullbacks]]. I know that it's about pushouts too, but that's a simple dualization and we have redirects. The name "pasting law" seems overly general to me; I can imagine many different "laws" regarding many different kinds of "pasting".

   I did some cleanup at pasting law:

   • I find itex-style commutative diagrams very hard to read if the objects are not present, so I named the objects.
   • I generally find it execrable to name anything with the letter $O$, and the notation in the related propositions was unnecessarily heavy, so I changed it to match the notation in the main proposition.
   • The boldfaced “labels” of the propositions were confusing because they were in the proposition environments but were not part of the proposition statements (I think this was an accident due to multiple editors), so I replaced them by non-bolded informal discussion before the propositions.
   • I made the bullet lists into paragraphs, which I think read better when all the items are short. In general, note that bullet lists should not be started with * * as that produces two bullets at the beginning of the line.

   I would also like to rename this page to pasting law for pullbacks. I know that it’s about pushouts too, but that’s a simple dualization and we have redirects. The name “pasting law” seems overly general to me; I can imagine many different “laws” regarding many different kinds of “pasting”.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJul 21st 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItex> I would also like to rename this page to pasting law for pullbacks. That's a good idea.

   I would also like to rename this page to pasting law for pullbacks.

   That’s a good idea.

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeJul 21st 2017
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexrenamed.

   renamed.