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 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 nforum 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
   • CommentTimeMay 17th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave split off [[geometric surjection/embedding factorization]] from the relevant entries. Maybe I find the time to spell out the proof there.

   have split off geometric surjection/embedding factorization from the relevant entries. Maybe I find the time to spell out the proof there.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 18th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have now written out the proof of the existence of the factorization. Next I'll do the uniqueness (I am just following the books, of course, closely even, nothing original here)

   I have now written out the proof of the existence of the factorization. Next I’ll do the uniqueness

   (I am just following the books, of course, closely even, nothing original here)

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMay 18th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexnow there is also the argument for the essential uniqueness of the factorization

   now there is also the argument for the essential uniqueness of the factorization