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 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

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).
    • 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