Not signed in (Sign In)

Not signed in

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

  • Sign in using OpenID

Site Tag Cloud

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

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: inserter

Bottom of Page

1 to 3 of 3

  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJun 3rd 2020

    Added a concrete example: inserters of categories.

    diff, v5, current

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeMar 2nd 2021
    • G.J. Bird, G.M. Kelly, A.J. Power, R.H. Street, Flexible limits for 2-categories, J. Pure and Applied Algebra 61:1, 1-27, 1989, doi:10.1016/0022-4049(89)90065-0
    • Fernando Lucatelli Nunes, Freely generated nn-categories, coinserters and presentations of low dimensional categories, arxiv/1704.04474

    diff, v6, current

    • CommentRowNumber3.
    • CommentAuthorjulia9367
    • CommentTimeJun 4th 2022
    • (edited Jun 4th 2022)
    I think the page is inconsistent on its use of „strict inserter“. Above it says that an inserter is strict if the diagrams are represented by an isomorphism of categories as opposed to an equivalence, so it's talking about the bilimit/limit distinction. Below it says that every strict inserter is in particular an inserter and that this is not true for general strict limits. But it is true that any limit if it exists is a bilimit (every isomorphism is an equivalence), so here the pseudo limit/strict limit distinction would be correct.

1 to 3 of 3

  1.