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: accessible functor

Bottom of Page

1 to 8 of 8

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 15th 2010

    split off accessible functor from accessible category.

    Added the necessary condition that the embedding functors and (oo,1)-functors are accesible to

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeMar 1st 2019

    Added properties of raising the index and preserving presentable objects.

    diff, v9, current

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJun 9th 2020

    Images of accessible functors.

    diff, v10, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJun 9th 2020

    Changed “image” to “essential image”, okay?

    diff, v11, current

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJun 10th 2020

    More results on accessible images, references.

    diff, v12, current

    • CommentRowNumber6.
    • CommentAuthorDavidRoberts
    • CommentTimeJun 11th 2020

    Added publication details for (Rosický 1994) and linked to Brooke-Taylor–Rosicky (in the refs) from the text.

    diff, v13, current

    • CommentRowNumber7.
    • CommentAuthorDavidRoberts
    • CommentTimeAug 12th 2021
    • (edited Aug 12th 2021)

    Added an example section, with two basic examples (but no details fleshing them out): adjoint functors between locally presentable cats, and polynomial endofunctors (based on comments of Mike S in the category theory Zulip chat).

    diff, v14, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeAug 13th 2021
    • (edited Aug 13th 2021)

    Have touched wording, hyperlinking and formatting. To refer to an Example, best to introduce a label (now here), for you don’t know that it will remain the “previous example” after future edits.

    diff, v16, current

1 to 8 of 8

  1.